10100111100100 has 36 divisors (see below), whose sum is σ = 25048275529984. Its totient is φ = 3462895234080.

The previous prime is 10100111100077. The next prime is 10100111100127. The reversal of 10100111100100 is 100111100101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7214364372 + ... + 7214365771.

Almost surely, 2^{10100111100100} is an apocalyptic number.

10100111100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100111100100 is an abundant number, since it is smaller than the sum of its proper divisors (14948164429884).

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

10100111100100 is a wasteful number, since it uses less digits than its factorization.

10100111100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14428730164 (or 14428730157 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10100111100100 its reverse (100111100101), we get a palindrome (10200222200201).

Subtracting from 10100111100100 its reverse (100111100101), we obtain a palindrome (9999999999999).

The spelling of 10100111100100 in words is "ten trillion, one hundred billion, one hundred eleven million, one hundred thousand, one hundred".