2100177072793 has 2 divisors, whose sum is σ = 2100177072794. Its totient is φ = 2100177072792.

The previous prime is 2100177072781. The next prime is 2100177072919. The reversal of 2100177072793 is 3972707710012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2080656232704 + 19520840089 = 1442448^2 + 139717^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100177072793 - 2¹⁷ = 2100176941721 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100177072193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050088536396 + 1050088536397.

It is an arithmetic number, because the mean of its divisors is an integer number (1050088536397).

Almost surely, 2^{2100177072793} is an apocalyptic number.

It is an amenable number.

2100177072793 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100177072793 is an equidigital number, since it uses as much as digits as its factorization.

2100177072793 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 259308, while the sum is 46.

The spelling of 2100177072793 in words is "two trillion, one hundred billion, one hundred seventy-seven million, seventy-two thousand, seven hundred ninety-three".