2120111100100 has 72 divisors (see below), whose sum is σ = 5270988135168. Its totient is φ = 725082432000.

The previous prime is 2120111100089. The next prime is 2120111100127. The reversal of 2120111100100 is 10011110212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3495772 + ... + 4057171.

It is an arithmetic number, because the mean of its divisors is an integer number (73208168544).

Almost surely, 2^{2120111100100} is an apocalyptic number.

2120111100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120111100100 is an abundant number, since it is smaller than the sum of its proper divisors (3150877035068).

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

2120111100100 is a wasteful number, since it uses less digits than its factorization.

2120111100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7553365 (or 7553358 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2120111100100 its reverse (10011110212), we get a palindrome (2130122210312).

The spelling of 2120111100100 in words is "two trillion, one hundred twenty billion, one hundred eleven million, one hundred thousand, one hundred".