101111111110957 has 2 divisors, whose sum is σ = 101111111110958. Its totient is φ = 101111111110956.

The previous prime is 101111111110949. The next prime is 101111111111011. The reversal of 101111111110957 is 759011111111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70577153842441 + 30533957268516 = 8401021^2 + 5525754^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111111110957 - 2³ = 101111111110949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111111110937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555555555478 + 50555555555479.

It is an arithmetic number, because the mean of its divisors is an integer number (50555555555479).

Almost surely, 2^{101111111110957} is an apocalyptic number.

It is an amenable number.

101111111110957 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111111110957 is an equidigital number, since it uses as much as digits as its factorization.

101111111110957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 315, while the sum is 31.

The spelling of 101111111110957 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, one hundred ten thousand, nine hundred fifty-seven".