2120120100993 has 16 divisors (see below), whose sum is σ = 2887272734976. Its totient is φ = 1383196698240.

The previous prime is 2120120100977. The next prime is 2120120101009. The reversal of 2120120100993 is 3990010210212.

It is an interprime number because it is at equal distance from previous prime (2120120100977) and next prime (2120120101009).

It is not a de Polignac number, because 2120120100993 - 2⁴ = 2120120100977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2120120100993.

It is not an unprimeable number, because it can be changed into a prime (2120120100913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 584005 + ... + 2140397.

It is an arithmetic number, because the mean of its divisors is an integer number (180454545936).

Almost surely, 2^{2120120100993} is an apocalyptic number.

It is an amenable number.

2120120100993 is a deficient number, since it is larger than the sum of its proper divisors (767152633983).

2120120100993 is a wasteful number, since it uses less digits than its factorization.

2120120100993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566104.

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 2120120100993 in words is "two trillion, one hundred twenty billion, one hundred twenty million, one hundred thousand, nine hundred ninety-three".