2120100993 has 8 divisors (see below), whose sum is σ = 3140890400. Its totient is φ = 1413400644.

The previous prime is 2120100979. The next prime is 2120101001. The reversal of 2120100993 is 3990010212.

2120100993 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2120100993 - 2⁶ = 2120100929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 78522259 = 2120100993 / (2 + 1 + 2 + 0 + 1 + 0 + 0 + 9 + 9 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2120100953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39261103 + ... + 39261156.

It is an arithmetic number, because the mean of its divisors is an integer number (392611300).

Almost surely, 2^2120100993 is an apocalyptic number.

It is an amenable number.

2120100993 is a deficient number, since it is larger than the sum of its proper divisors (1020789407).

2120100993 is an equidigital number, since it uses as much as digits as its factorization.

2120100993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78522268 (or 78522262 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 2120100993 is about 46044.5544337221. The cubic root of 2120100993 is about 1284.6520565717.

The spelling of 2120100993 in words is "two billion, one hundred twenty million, one hundred thousand, nine hundred ninety-three".