10164995101 has 2 divisors, whose sum is σ = 10164995102. Its totient is φ = 10164995100.

The previous prime is 10164995063. The next prime is 10164995111. The reversal of 10164995101 is 10159946101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5554720900 + 4610274201 = 74530^2 + 67899^2 .

It is a cyclic number.

It is not a de Polignac number, because 10164995101 - 2²¹ = 10162897949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10164995111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5082497550 + 5082497551.

It is an arithmetic number, because the mean of its divisors is an integer number (5082497551).

Almost surely, 2^10164995101 is an apocalyptic number.

It is an amenable number.

10164995101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10164995101 is an equidigital number, since it uses as much as digits as its factorization.

10164995101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9720, while the sum is 37.

The spelling of 10164995101 in words is "ten billion, one hundred sixty-four million, nine hundred ninety-five thousand, one hundred one".