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100100220021010 = 2511171631183927739
BaseRepresentation
bin10110110000101001100110…
…000011100110100100010010
3111010102111011102222002121201
4112300221212003212210102
5101110020222311133020
6552521223425341414
730041000524232356
oct2660514603464422
9433374142862551
10100100220021010
11299932a065a320
12b28811519786a
1343b15443cc821
141aa0c3b187466
15b88c82ebaa0a
hex5b0a660e6912

100100220021010 has 128 divisors (see below), whose sum is σ = 209424874291200. Its totient is φ = 34044618193920.

The previous prime is 100100220021001. The next prime is 100100220021017. The reversal of 100100220021010 is 10120022001001.

It is a super-2 number, since 2×1001002200210102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100100220021017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3608631721 + ... + 3608659459.

It is an arithmetic number, because the mean of its divisors is an integer number (1636131830400).

Almost surely, 2100100220021010 is an apocalyptic number.

100100220021010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100220021010 is an abundant number, since it is smaller than the sum of its proper divisors (109324654270190).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100100220021010 is a wasteful number, since it uses less digits than its factorization.

100100220021010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39776.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100100220021010 its reverse (10120022001001), we get a palindrome (110220242022011).

It can be divided in two parts, 1001002 and 20021010, that added together give a palindrome (21022012).

The spelling of 100100220021010 in words is "one hundred trillion, one hundred billion, two hundred twenty million, twenty-one thousand, ten".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 163 170 187 326 374 815 935 1630 1793 1870 2771 3586 5542 8965 11839 13855 17930 23678 27710 27739 30481 55478 59195 60962 118390 130229 138695 152405 201263 260458 277390 304810 305129 402526 471563 610258 651145 943126 1006315 1302290 1525645 1929757 2012630 2213893 2357815 3051290 3859514 4427786 4521457 4715630 5187193 9042914 9648785 10374386 11069465 19297570 21227327 22138930 22607285 25935965 32805869 42454654 45214570 49736027 51871930 65611738 76864769 99472054 106136635 153729538 164029345 212273270 248680135 328058690 328402021 360864559 384323845 497360270 656804042 721729118 768647690 845512459 1642010105 1691024918 1804322795 3284020210 3608645590 3612422231 4227562295 5582834357 7224844462 8455124590 11165668714 18062111155 27914171785 36124222310 53529529423 55828343570 61411177927 107059058846 122822355854 267647647115 307055889635 535295294230 588824823653 614111779270 910002000191 1177649647306 1820004000382 2944124118265 4550010000955 5888248236530 9100020001910 10010022002101 20020044004202 50050110010505 100100220021010