111201021011957 has 2 divisors, whose sum is σ = 111201021011958. Its totient is φ = 111201021011956.

The previous prime is 111201021011929. The next prime is 111201021012007. The reversal of 111201021011957 is 759110120102111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94892419143076 + 16308601868881 = 9741274^2 + 4038391^2 .

It is an emirp because it is prime and its reverse (759110120102111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111201021011957 - 2²⁴ = 111201004234741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111201021011057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55600510505978 + 55600510505979.

It is an arithmetic number, because the mean of its divisors is an integer number (55600510505979).

Almost surely, 2^{111201021011957} is an apocalyptic number.

It is an amenable number.

111201021011957 is a deficient number, since it is larger than the sum of its proper divisors (1).

111201021011957 is an equidigital number, since it uses as much as digits as its factorization.

111201021011957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 32.

The spelling of 111201021011957 in words is "one hundred eleven trillion, two hundred one billion, twenty-one million, eleven thousand, nine hundred fifty-seven".