101011109957 has 2 divisors, whose sum is σ = 101011109958. Its totient is φ = 101011109956.

The previous prime is 101011109939. The next prime is 101011109981. The reversal of 101011109957 is 759901110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95769205156 + 5241904801 = 309466^2 + 72401^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011109957 - 2¹² = 101011105861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101011409957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505554978 + 50505554979.

It is an arithmetic number, because the mean of its divisors is an integer number (50505554979).

Almost surely, 2^101011109957 is an apocalyptic number.

It is an amenable number.

101011109957 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011109957 is an equidigital number, since it uses as much as digits as its factorization.

101011109957 is an evil number, because the sum of its binary digits is even.

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

The spelling of 101011109957 in words is "one hundred one billion, eleven million, one hundred nine thousand, nine hundred fifty-seven".