2100057627373 has 2 divisors, whose sum is σ = 2100057627374. Its totient is φ = 2100057627372.

The previous prime is 2100057627341. The next prime is 2100057627389. The reversal of 2100057627373 is 3737267500012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2001876925129 + 98180702244 = 1414877^2 + 313338^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100057627373 - 2⁵ = 2100057627341 is a prime.

It is a super-2 number, since 2×2100057627373² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100057627313) 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, 1050028813686 + 1050028813687.

It is an arithmetic number, because the mean of its divisors is an integer number (1050028813687).

Almost surely, 2^{2100057627373} is an apocalyptic number.

It is an amenable number.

2100057627373 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100057627373 is an equidigital number, since it uses as much as digits as its factorization.

2100057627373 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 370440, while the sum is 43.

The spelling of 2100057627373 in words is "two trillion, one hundred billion, fifty-seven million, six hundred twenty-seven thousand, three hundred seventy-three".