100100010000010 has 32 divisors (see below), whose sum is σ = 181459187103744. Its totient is φ = 39755995440000.

The previous prime is 100100009999981. The next prime is 100100010000061. The reversal of 100100010000010 is 10000010001001.

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 15 ways as a sum of consecutive naturals, for example, 12513811 + ... + 18889030.

It is an arithmetic number, because the mean of its divisors is an integer number (5670599596992).

Almost surely, 2^{100100010000010} is an apocalyptic number.

100100010000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100010000010 is a deficient number, since it is larger than the sum of its proper divisors (81359177103734).

100100010000010 is a wasteful number, since it uses less digits than its factorization.

100100010000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31405110.

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

Adding to 100100010000010 its reverse (10000010001001), we get a palindrome (110100020001011).

Subtracting from 100100010000010 its reverse (10000010001001), we obtain a palindrome (90099999999009).

The spelling of 100100010000010 in words is "one hundred trillion, one hundred billion, ten million, ten", and thus it is an aban number.