10111111100100 has 126 divisors (see below), whose sum is σ = 32896618094970. Its totient is φ = 2696296273920.

The previous prime is 10111111100099. The next prime is 10111111100119. The reversal of 10111111100100 is 100111111101.

10111111100100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 18239582916 + 10092871517184 = 135054^2 + 3176928^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 69276285 + ... + 69422084.

It is an arithmetic number, because the mean of its divisors is an integer number (261084270595).

Almost surely, 2^{10111111100100} is an apocalyptic number.

10111111100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111111100100 is an abundant number, since it is smaller than the sum of its proper divisors (22785506994870).

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

10111111100100 is a wasteful number, since it uses less digits than its factorization.

10111111100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138698401 (or 138698379 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10111111100100 its reverse (100111111101), we get a palindrome (10211222211201).

The spelling of 10111111100100 in words is "ten trillion, one hundred eleven billion, one hundred eleven million, one hundred thousand, one hundred".