2011110100100 has 36 divisors (see below), whose sum is σ = 4368857875200. Its totient is φ = 803568656160.

The previous prime is 2011110100009. The next prime is 2011110100127. The reversal of 2011110100100 is 10010111102.

It is a happy number.

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, 10849940 + ... + 11033739.

It is an arithmetic number, because the mean of its divisors is an integer number (121357163200).

Almost surely, 2^{2011110100100} is an apocalyptic number.

2011110100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011110100100 is an abundant number, since it is smaller than the sum of its proper divisors (2357747775100).

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

2011110100100 is a wasteful number, since it uses less digits than its factorization.

2011110100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21884612 (or 21884605 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 2011110100100 its reverse (10010111102), we get a palindrome (2021120211202).

The spelling of 2011110100100 in words is "two trillion, eleven billion, one hundred ten million, one hundred thousand, one hundred".