101010000994757 has 2 divisors, whose sum is σ = 101010000994758. Its totient is φ = 101010000994756.

The previous prime is 101010000994741. The next prime is 101010000994787. The reversal of 101010000994757 is 757499000010101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63979745602756 + 37030255392001 = 7998734^2 + 6085249^2 .

It is an emirp because it is prime and its reverse (757499000010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101010000994757 - 2⁴ = 101010000994741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010000994717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505000497378 + 50505000497379.

It is an arithmetic number, because the mean of its divisors is an integer number (50505000497379).

Almost surely, 2^{101010000994757} is an apocalyptic number.

It is an amenable number.

101010000994757 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010000994757 is an equidigital number, since it uses as much as digits as its factorization.

101010000994757 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 79380, while the sum is 44.

The spelling of 101010000994757 in words is "one hundred one trillion, ten billion, nine hundred ninety-four thousand, seven hundred fifty-seven".