10100000000010 has 64 divisors (see below), whose sum is σ = 24298190991360. Its totient is φ = 2686868677440.

The previous prime is 10099999999997. The next prime is 10100000000021. The reversal of 10100000000010 is 1000000000101.

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.

It is a junction number, because it is equal to n+sod(n) for n = 10099999999923 and 10100000000004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221843109 + ... + 221888631.

It is an arithmetic number, because the mean of its divisors is an integer number (379659234240).

Almost surely, 2^{10100000000010} is an apocalyptic number.

10100000000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100000000010 is an abundant number, since it is smaller than the sum of its proper divisors (14198190991350).

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

10100000000010 is a wasteful number, since it uses less digits than its factorization.

10100000000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63123.

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

Adding to 10100000000010 its reverse (1000000000101), we get a palindrome (11100000000111).

Subtracting from 10100000000010 its reverse (1000000000101), we obtain a palindrome (9099999999909).

The spelling of 10100000000010 in words is "ten trillion, one hundred billion, ten", and thus it is an aban number.