10100100000010 has 48 divisors (see below), whose sum is σ = 18385087746816. Its totient is φ = 3994993573056.

The previous prime is 10100099999923. The next prime is 10100100000017. The reversal of 10100100000010 is 1000000100101.

It is not an unprimeable number, because it can be changed into a prime (10100100000017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59676927 + ... + 59845933.

It is an arithmetic number, because the mean of its divisors is an integer number (383022661392).

Almost surely, 2^{10100100000010} is an apocalyptic number.

10100100000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100100000010 is a deficient number, since it is larger than the sum of its proper divisors (8284987746806).

10100100000010 is a wasteful number, since it uses less digits than its factorization.

10100100000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169735 (or 169626 counting only the distinct ones).

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

Adding to 10100100000010 its reverse (1000000100101), we get a palindrome (11100100100111).

The spelling of 10100100000010 in words is "ten trillion, one hundred billion, one hundred million, ten", and thus it is an aban number.