2100120111993 has 16 divisors (see below), whose sum is σ = 2806153644416. Its totient is φ = 1397084837760.

The previous prime is 2100120111967. The next prime is 2100120112061. The reversal of 2100120111993 is 3991110210012.

It is not a de Polignac number, because 2100120111993 - 2¹⁷ = 2100119980921 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2100120111993.

It is not an unprimeable number, because it can be changed into a prime (2100120111913) 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, 5433621 + ... + 5807277.

It is an arithmetic number, because the mean of its divisors is an integer number (175384602776).

Almost surely, 2^{2100120111993} is an apocalyptic number.

It is an amenable number.

2100120111993 is a deficient number, since it is larger than the sum of its proper divisors (706033532423).

2100120111993 is a wasteful number, since it uses less digits than its factorization.

2100120111993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377664.

The product of its (nonzero) digits is 972, while the sum is 30.

The spelling of 2100120111993 in words is "two trillion, one hundred billion, one hundred twenty million, one hundred eleven thousand, nine hundred ninety-three".