10011000110100 has 108 divisors (see below), whose sum is σ = 31837738316832. Its totient is φ = 2426909108800.

The previous prime is 10011000110087. The next prime is 10011000110129. The reversal of 10011000110100 is 101100011001.

10011000110100 is digitally balanced in base 2, 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 (6).

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

It is a congruent number.

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, 137856264 + ... + 137928863.

It is an arithmetic number, because the mean of its divisors is an integer number (294793873304).

Almost surely, 2^{10011000110100} is an apocalyptic number.

10011000110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011000110100 is an abundant number, since it is smaller than the sum of its proper divisors (21826738206732).

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

10011000110100 is a wasteful number, since it uses less digits than its factorization.

10011000110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275785166 (or 275785148 counting only the distinct ones).

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

Adding to 10011000110100 its reverse (101100011001), we get a palindrome (10112100121101).

Subtracting from 10011000110100 its reverse (101100011001), we obtain a palindrome (9909900099099).

The spelling of 10011000110100 in words is "ten trillion, eleven billion, one hundred ten thousand, one hundred".