10100011100100 has 72 divisors (see below), whose sum is σ = 29295573692448. Its totient is φ = 2686619712000.

The previous prime is 10100011100093. The next prime is 10100011100117. The reversal of 10100011100100 is 100111000101.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41858134 + ... + 42098733.

Almost surely, 2^{10100011100100} is an apocalyptic number.

10100011100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100011100100 is an abundant number, since it is smaller than the sum of its proper divisors (19195562592348).

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

10100011100100 is a wasteful number, since it uses less digits than its factorization.

10100011100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83957285 (or 83957278 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10100011100100 its reverse (100111000101), we get a palindrome (10200122100201).

Subtracting from 10100011100100 its reverse (100111000101), we obtain a palindrome (9999900099999).

The spelling of 10100011100100 in words is "ten trillion, one hundred billion, eleven million, one hundred thousand, one hundred".