101146855657 has 2 divisors, whose sum is σ = 101146855658. Its totient is φ = 101146855656.

The previous prime is 101146855643. The next prime is 101146855687. The reversal of 101146855657 is 756558641101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91313356761 + 9833498896 = 302181^2 + 99164^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101146855657 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101146855657.

It is not a weakly prime, because it can be changed into another prime (101146855627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50573427828 + 50573427829.

It is an arithmetic number, because the mean of its divisors is an integer number (50573427829).

Almost surely, 2^101146855657 is an apocalyptic number.

It is an amenable number.

101146855657 is a deficient number, since it is larger than the sum of its proper divisors (1).

101146855657 is an equidigital number, since it uses as much as digits as its factorization.

101146855657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008000, while the sum is 49.

The spelling of 101146855657 in words is "one hundred one billion, one hundred forty-six million, eight hundred fifty-five thousand, six hundred fifty-seven".