2110100332993 has 2 divisors, whose sum is σ = 2110100332994. Its totient is φ = 2110100332992.

The previous prime is 2110100332961. The next prime is 2110100333069. The reversal of 2110100332993 is 3992330010112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1332657830464 + 777442502529 = 1154408^2 + 881727^2 .

It is a cyclic number.

It is not a de Polignac number, because 2110100332993 - 2⁵ = 2110100332961 is a prime.

It is not a weakly prime, because it can be changed into another prime (2110100332493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055050166496 + 1055050166497.

It is an arithmetic number, because the mean of its divisors is an integer number (1055050166497).

Almost surely, 2^{2110100332993} is an apocalyptic number.

It is an amenable number.

2110100332993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2110100332993 is an equidigital number, since it uses as much as digits as its factorization.

2110100332993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 34.

The spelling of 2110100332993 in words is "two trillion, one hundred ten billion, one hundred million, three hundred thirty-two thousand, nine hundred ninety-three".