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101102020002100 = 225213132915851387
BaseRepresentation
bin10110111111001110100101…
…111111010000000100110100
3111020222020222121101000222001
4112333032211333100010310
5101222423414110031400
6555005343215545044
730203244206456605
oct2677164577200464
9436866877330861
10101102020002100
112a23a142626697
12b40a2b9b2b184
134454b5857c920
141ad751469ddac
15ba4d67784a6a
hex5bf3a5fd0134

101102020002100 has 72 divisors (see below), whose sum is σ = 236285460561248. Its totient is φ = 37327161571200.

The previous prime is 101102020002079. The next prime is 101102020002119. The reversal of 101102020002100 is 1200020201101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14352607 + ... + 20203993.

Almost surely, 2101102020002100 is an apocalyptic number.

101102020002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102020002100 is an abundant number, since it is smaller than the sum of its proper divisors (135183440559148).

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

101102020002100 is a wasteful number, since it uses less digits than its factorization.

101102020002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5864705 (or 5864698 counting only the distinct ones).

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

Adding to 101102020002100 its reverse (1200020201101), we get a palindrome (102302040203201).

The spelling of 101102020002100 in words is "one hundred one trillion, one hundred two billion, twenty million, two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 13291 26582 53164 66455 132910 172783 265820 332275 345566 664550 691132 863915 1329100 1727830 3455660 4319575 5851387 8639150 11702774 17278300 23405548 29256935 58513870 76068031 117027740 146284675 152136062 292569350 304272124 380340155 585138700 760680310 1521360620 1901700775 3803401550 7606803100 77770784617 155541569234 311083138468 388853923085 777707846170 1011020200021 1555415692340 1944269615425 2022040400042 3888539230850 4044080800084 5055101000105 7777078461700 10110202000210 20220404000420 25275505000525 50551010001050 101102020002100