101020111957 has 2 divisors, whose sum is σ = 101020111958. Its totient is φ = 101020111956.

The previous prime is 101020111919. The next prime is 101020111991. The reversal of 101020111957 is 759111020101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65884109041 + 35136002916 = 256679^2 + 187446^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101020111957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101020115957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510055978 + 50510055979.

It is an arithmetic number, because the mean of its divisors is an integer number (50510055979).

Almost surely, 2^101020111957 is an apocalyptic number.

It is an amenable number.

101020111957 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020111957 is an equidigital number, since it uses as much as digits as its factorization.

101020111957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 630, while the sum is 28.

The spelling of 101020111957 in words is "one hundred one billion, twenty million, one hundred eleven thousand, nine hundred fifty-seven".