10000010000010 has 64 divisors (see below), whose sum is σ = 25263739353600. Its totient is φ = 2526262696512.

The previous prime is 10000009999927. The next prime is 10000010000027. The reversal of 10000010000010 is 1000001000001.

It is a Harshad number since it is a multiple of its sum of digits (3).

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

10000010000010 is a modest number, since divided by 10000010 gives 10 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29803197 + ... + 30136863.

It is an arithmetic number, because the mean of its divisors is an integer number (394745927400).

Almost surely, 2^{10000010000010} is an apocalyptic number.

10000010000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10000010000010 is an abundant number, since it is smaller than the sum of its proper divisors (15263729353590).

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

10000010000010 is a wasteful number, since it uses less digits than its factorization.

10000010000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386275.

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 10000010000010 its reverse (1000001000001), we get a palindrome (11000011000011).

Subtracting from 10000010000010 its reverse (1000001000001), we obtain a palindrome (9000009000009).

The spelling of 10000010000010 in words is "ten trillion, ten million, ten", and thus it is an aban number and an uban number.