2120101112100 has 144 divisors (see below), whose sum is σ = 6480697708800. Its totient is φ = 534250859520.

The previous prime is 2120101112093. The next prime is 2120101112117. The reversal of 2120101112100 is 12111010212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2183545 + ... + 3001344.

It is an arithmetic number, because the mean of its divisors is an integer number (45004845200).

Almost surely, 2^{2120101112100} is an apocalyptic number.

2120101112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120101112100 is an abundant number, since it is smaller than the sum of its proper divisors (4360596596700).

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

2120101112100 is a wasteful number, since it uses less digits than its factorization.

2120101112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5184982 (or 5184975 counting only the distinct ones).

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

Adding to 2120101112100 its reverse (12111010212), we get a palindrome (2132212122312).

The spelling of 2120101112100 in words is "two trillion, one hundred twenty billion, one hundred one million, one hundred twelve thousand, one hundred".