10100001000100 has 72 divisors (see below), whose sum is σ = 24418168887168. Its totient is φ = 3594584476800.

The previous prime is 10100001000091. The next prime is 10100001000119. The reversal of 10100001000100 is 100010000101.

It is a Harshad number since it is a multiple of its sum of digits (4).

10100001000100 is a modest number, since divided by 1000100 gives 101000 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 10100001000100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97627227 + ... + 97730626.

It is an arithmetic number, because the mean of its divisors is an integer number (339141234544).

Almost surely, 2^{10100001000100} is an apocalyptic number.

10100001000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100001000100 is an abundant number, since it is smaller than the sum of its proper divisors (14318167887068).

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

10100001000100 is a wasteful number, since it uses less digits than its factorization.

10100001000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195357925 (or 195357918 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10100001000100 its reverse (100010000101), we get a palindrome (10200011000201).

Subtracting from 10100001000100 its reverse (100010000101), we obtain a palindrome (9999990999999).

The spelling of 10100001000100 in words is "ten trillion, one hundred billion, one million, one hundred", and thus it is an aban number.