10100111100997 has 2 divisors, whose sum is σ = 10100111100998. Its totient is φ = 10100111100996.

The previous prime is 10100111100923. The next prime is 10100111101001. The reversal of 10100111100997 is 79900111100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7330063493281 + 2770047607716 = 2707409^2 + 1664346^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100111100997 - 2³¹ = 10097963617349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100111100917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050055550498 + 5050055550499.

It is an arithmetic number, because the mean of its divisors is an integer number (5050055550499).

Almost surely, 2^{10100111100997} is an apocalyptic number.

It is an amenable number.

10100111100997 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100111100997 is an equidigital number, since it uses as much as digits as its factorization.

10100111100997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 31.

The spelling of 10100111100997 in words is "ten trillion, one hundred billion, one hundred eleven million, one hundred thousand, nine hundred ninety-seven".