2112011102100 has 36 divisors (see below), whose sum is σ = 6110752122944. Its totient is φ = 563202960480.

The previous prime is 2112011102093. The next prime is 2112011102101. The reversal of 2112011102100 is 12011102112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112011102101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3520018204 + ... + 3520018803.

Almost surely, 2^{2112011102100} is an apocalyptic number.

2112011102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112011102100 is an abundant number, since it is smaller than the sum of its proper divisors (3998741020844).

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

2112011102100 is a wasteful number, since it uses less digits than its factorization.

2112011102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7040037024 (or 7040037017 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2112011102100 its sum of digits (12), we get a palindrome (2112011102112).

Adding to 2112011102100 its reverse (12011102112), we get a palindrome (2124022204212).

The spelling of 2112011102100 in words is "two trillion, one hundred twelve billion, eleven million, one hundred two thousand, one hundred".