100001010000010 has 128 divisors (see below), whose sum is σ = 211068093634560. Its totient is φ = 33401218228224.

The previous prime is 100001009999983. The next prime is 100001010000013. The reversal of 100001010000010 is 10000010100001.

It is not an unprimeable number, because it can be changed into a prime (100001010000013) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 646805796 + ... + 646960384.

It is an arithmetic number, because the mean of its divisors is an integer number (1648969481520).

Almost surely, 2^{100001010000010} is an apocalyptic number.

100001010000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100001010000010 is an abundant number, since it is smaller than the sum of its proper divisors (111067083634550).

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

100001010000010 is a wasteful number, since it uses less digits than its factorization.

100001010000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155560.

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

Adding to 100001010000010 its reverse (10000010100001), we get a palindrome (110001020100011).

Subtracting from 100001010000010 its reverse (10000010100001), we obtain a palindrome (90000999900009).

The spelling of 100001010000010 in words is "one hundred trillion, one billion, ten million, ten", and thus it is an aban number.