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101210201222020 = 225114111399297727
BaseRepresentation
bin10111000000110011010110…
…000101110110101110000100
3111021100121012221102102002221
4113000303112011312232010
5101231211443003101040
6555131154034542124
730214124064614332
oct2700632605665604
9437317187372087
10101210201222020
112a281007055370
12b42726b737944
1344621090126a7
141adc8580bcb52
15ba7a99d6474a
hex5c0cd6176b84

101210201222020 has 96 divisors (see below), whose sum is σ = 239620510918656. Its totient is φ = 35588304998400.

The previous prime is 101210201222017. The next prime is 101210201222021. The reversal of 101210201222020 is 20222102012101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101210201221985 and 101210201222003.

It is not an unprimeable number, because it can be changed into a prime (101210201222021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48629604 + ... + 50668123.

It is an arithmetic number, because the mean of its divisors is an integer number (2496046988736).

Almost surely, 2101210201222020 is an apocalyptic number.

101210201222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210201222020 is an abundant number, since it is smaller than the sum of its proper divisors (138410309696636).

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

101210201222020 is a wasteful number, since it uses less digits than its factorization.

101210201222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99297901 (or 99297899 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101210201222020 its reverse (20222102012101), we get a palindrome (121432303234121).

The spelling of 101210201222020 in words is "one hundred one trillion, two hundred ten billion, two hundred one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 113 164 205 220 226 410 451 452 565 820 902 1130 1243 1804 2255 2260 2486 4510 4633 4972 6215 9020 9266 12430 18532 23165 24860 46330 50963 92660 101926 203852 254815 509630 1019260 99297727 198595454 397190908 496488635 992977270 1092274997 1985954540 2184549994 4071206807 4369099988 5461374985 8142413614 10922749970 11220643151 16284827228 20356034035 21845499940 22441286302 40712068070 44783274877 44882572604 56103215755 81424136140 89566549754 112206431510 123427074661 179133099508 223916374385 224412863020 246854149322 447832748770 460046369191 493708298644 617135373305 895665497540 920092738382 1234270746610 1840185476764 2300231845955 2468541493220 4600463691910 5060510061101 9200927383820 10121020122202 20242040244404 25302550305505 50605100611010 101210201222020