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BaseRepresentation
bin10110101111011111110100…
…110001110011110101001010
3111010010220201011120012200200
4112233133310301303311022
5101102221012042320020
6552421003454313030
730032164605206400
oct2657376461636512
9433126634505620
10100021010120010
1129962743741321
12b2748a9ab8776
1343a6c2cb92115
141a9b08531b470
15b86b9906a590
hex5af7f4c73d4a

100021010120010 has 144 divisors (see below), whose sum is σ = 303662765742336. Its totient is φ = 22775017358016.

The previous prime is 100021010119967. The next prime is 100021010120029. The reversal of 100021010120010 is 10021010120001.

Adding to 100021010120010 its reverse (10021010120001), we get a palindrome (110042020240011).

Subtracting from 100021010120010 its reverse (10021010120001), we obtain a palindrome (90000000000009).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100021010119974 and 100021010120001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41958994 + ... + 44278653.

It is an arithmetic number, because the mean of its divisors is an integer number (2108769206544).

Almost surely, 2100021010120010 is an apocalyptic number.

100021010120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100021010120010 is an abundant number, since it is smaller than the sum of its proper divisors (203641755622326).

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

100021010120010 is a wasteful number, since it uses less digits than its factorization.

100021010120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86237937 (or 86237927 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The spelling of 100021010120010 in words is "one hundred trillion, twenty-one billion, ten million, one hundred twenty thousand, ten".