101410319957 has 2 divisors, whose sum is σ = 101410319958. Its totient is φ = 101410319956.

The previous prime is 101410319911. The next prime is 101410320007. The reversal of 101410319957 is 759913014101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63418852561 + 37991467396 = 251831^2 + 194914^2 .

It is a cyclic number.

It is not a de Polignac number, because 101410319957 - 2²⁴ = 101393542741 is a prime.

It is a super-2 number, since 2×101410319957² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101410319057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50705159978 + 50705159979.

It is an arithmetic number, because the mean of its divisors is an integer number (50705159979).

Almost surely, 2^101410319957 is an apocalyptic number.

It is an amenable number.

101410319957 is a deficient number, since it is larger than the sum of its proper divisors (1).

101410319957 is an equidigital number, since it uses as much as digits as its factorization.

101410319957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34020, while the sum is 41.

The spelling of 101410319957 in words is "one hundred one billion, four hundred ten million, three hundred nineteen thousand, nine hundred fifty-seven".