2120002117100 has 72 divisors (see below), whose sum is σ = 5258378442240. Its totient is φ = 726750976320.

The previous prime is 2120002117061. The next prime is 2120002117117. The reversal of 2120002117100 is 17112000212.

It is a super-2 number, since 2×2120002117100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4615661 + ... + 5054139.

It is an arithmetic number, because the mean of its divisors is an integer number (73033033920).

Almost surely, 2^{2120002117100} is an apocalyptic number.

2120002117100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120002117100 is an abundant number, since it is smaller than the sum of its proper divisors (3138376325140).

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

2120002117100 is a wasteful number, since it uses less digits than its factorization.

2120002117100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445407 (or 445400 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 2120002117100 its reverse (17112000212), we get a palindrome (2137114117312).

The spelling of 2120002117100 in words is "two trillion, one hundred twenty billion, two million, one hundred seventeen thousand, one hundred".