2102120102100 has 36 divisors (see below), whose sum is σ = 6082134162944. Its totient is φ = 560565360480.

The previous prime is 2102120102057. The next prime is 2102120102153. The reversal of 2102120102100 is 12010212012.

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

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, 3503533204 + ... + 3503533803.

Almost surely, 2^{2102120102100} is an apocalyptic number.

2102120102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102120102100 is an abundant number, since it is smaller than the sum of its proper divisors (3980014060844).

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

2102120102100 is a wasteful number, since it uses less digits than its factorization.

2102120102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7007067024 (or 7007067017 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2102120102100 its reverse (12010212012), we get a palindrome (2114130314112).

The spelling of 2102120102100 in words is "two trillion, one hundred two billion, one hundred twenty million, one hundred two thousand, one hundred".