2111101122100 has 36 divisors (see below), whose sum is σ = 4581160122924. Its totient is φ = 844427418880.

The previous prime is 2111101122073. The next prime is 2111101122139. The reversal of 2111101122100 is 12211011112.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1978114576 + 2109123007524 = 44476^2 + 1452282^2 .

It is a congruent 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, 8809062 + ... + 9045538.

It is an arithmetic number, because the mean of its divisors is an integer number (127254447859).

Almost surely, 2^{2111101122100} is an apocalyptic number.

2111101122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111101122100 is an abundant number, since it is smaller than the sum of its proper divisors (2470059000824).

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

2111101122100 is a wasteful number, since it uses less digits than its factorization.

2111101122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325764 (or 325757 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2111101122100 its reverse (12211011112), we get a palindrome (2123312133212).

The spelling of 2111101122100 in words is "two trillion, one hundred eleven billion, one hundred one million, one hundred twenty-two thousand, one hundred".