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10101020100 = 22352101333367
BaseRepresentation
bin10010110100001000…
…10101010111000100
3222001221211222122120
421122010111113010
5131141330120400
64350151525540
7505212153123
oct113204252704
928057758576
1010101020100
1143138429a6
121b5a9898b0
13c4c8ca392
146bb73baba
153e1bb4ca0
hex25a1155c4

10101020100 has 72 divisors (see below), whose sum is σ = 29515069248. Its totient is φ = 2666928000.

The previous prime is 10101020093. The next prime is 10101020113. The reversal of 10101020100 is 102010101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 136384 + ... + 196983.

Almost surely, 210101020100 is an apocalyptic number.

10101020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101020100 is an abundant number, since it is smaller than the sum of its proper divisors (19414049148).

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

10101020100 is a wasteful number, since it uses less digits than its factorization.

10101020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333485 (or 333478 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10101020100 its reverse (102010101), we get a palindrome (10203030201).

Subtracting from 10101020100 its reverse (102010101), we obtain a palindrome (9999009999).

It can be divided in two parts, 1010 and 1020100, that multiplied together give a cube (1030301000 = 10103).

The spelling of 10101020100 in words is "ten billion, one hundred one million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 3030 5050 6060 7575 10100 15150 30300 333367 666734 1000101 1333468 1666835 2000202 3333670 4000404 5000505 6667340 8334175 10001010 16668350 20002020 25002525 33336700 33670067 50005050 67340134 100010100 101010201 134680268 168350335 202020402 336700670 404040804 505051005 673401340 841751675 1010102010 1683503350 2020204020 2525255025 3367006700 5050510050 10101020100