2100120011100 has 216 divisors, whose sum is σ = 7054563166560. Its totient is φ = 521204682240.

The previous prime is 2100120011047. The next prime is 2100120011149. The reversal of 2100120011100 is 11100210012.

It is a happy number.

It is a super-2 number, since 2×2100120011100² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 605115 + ... + 2136914.

It is an arithmetic number, because the mean of its divisors is an integer number (32660014660).

Almost surely, 2^{2100120011100} is an apocalyptic number.

2100120011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100120011100 is an abundant number, since it is smaller than the sum of its proper divisors (4954443155460).

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

2100120011100 is a wasteful number, since it uses less digits than its factorization.

2100120011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742109 (or 2742099 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2100120011100 its reverse (11100210012), we get a palindrome (2111220221112).

The spelling of 2100120011100 in words is "two trillion, one hundred billion, one hundred twenty million, eleven thousand, one hundred".