10111001009957 has 2 divisors, whose sum is σ = 10111001009958. Its totient is φ = 10111001009956.

The previous prime is 10111001009951. The next prime is 10111001010001. The reversal of 10111001009957 is 75990010011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5491106442721 + 4619894567236 = 2343311^2 + 2149394^2 .

It is an emirp because it is prime and its reverse (75990010011101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10111001009957 - 2²² = 10110996815653 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10111001009951) 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, 5055500504978 + 5055500504979.

It is an arithmetic number, because the mean of its divisors is an integer number (5055500504979).

Almost surely, 2^{10111001009957} is an apocalyptic number.

It is an amenable number.

10111001009957 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111001009957 is an equidigital number, since it uses as much as digits as its factorization.

10111001009957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2835, while the sum is 35.

The spelling of 10111001009957 in words is "ten trillion, one hundred eleven billion, one million, nine thousand, nine hundred fifty-seven".