101111111000100 has 108 divisors (see below), whose sum is σ = 318697703447760. Its totient is φ = 26812331812800.

The previous prime is 101111111000093. The next prime is 101111111000117. The reversal of 101111111000100 is 1000111111101.

101111111000100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 313653646 + ... + 313975845.

Almost surely, 2^{101111111000100} is an apocalyptic number.

101111111000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111111000100 is an abundant number, since it is smaller than the sum of its proper divisors (217586592447660).

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

101111111000100 is a wasteful number, since it uses less digits than its factorization.

101111111000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627629690 (or 627629680 counting only the distinct ones).

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

Adding to 101111111000100 its reverse (1000111111101), we get a palindrome (102111222111201).

The spelling of 101111111000100 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, one hundred", and thus it is an aban number.