2110120011100 has 72 divisors (see below), whose sum is σ = 4589876590208. Its totient is φ = 842036990400.

The previous prime is 2110120011091. The next prime is 2110120011133. The reversal of 2110120011100 is 11100210112.

It is a super-2 number, since 2×2110120011100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212473135 + ... + 212483065.

Almost surely, 2^{2110120011100} is an apocalyptic number.

2110120011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110120011100 is an abundant number, since it is smaller than the sum of its proper divisors (2479756579108).

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

2110120011100 is a wasteful number, since it uses less digits than its factorization.

2110120011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14795 (or 14788 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2110120011100 its reverse (11100210112), we get a palindrome (2121220221212).

The spelling of 2110120011100 in words is "two trillion, one hundred ten billion, one hundred twenty million, eleven thousand, one hundred".