2120111202100 has 36 divisors (see below), whose sum is σ = 4606718938444. Its totient is φ = 846924180480.

The previous prime is 2120111202049. The next prime is 2120111202119. The reversal of 2120111202100 is 12021110212.

It can be written as a sum of positive squares in 6 ways, for example, as 9651883536 + 2110459318564 = 98244^2 + 1452742^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13927677 + ... + 14079076.

Almost surely, 2^{2120111202100} is an apocalyptic number.

2120111202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120111202100 is an abundant number, since it is smaller than the sum of its proper divisors (2486607736344).

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

2120111202100 is a wasteful number, since it uses less digits than its factorization.

2120111202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28007524 (or 28007517 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2120111202100 its reverse (12021110212), we get a palindrome (2132132312312).

The spelling of 2120111202100 in words is "two trillion, one hundred twenty billion, one hundred eleven million, two hundred two thousand, one hundred".