21111121111957 has 2 divisors, whose sum is σ = 21111121111958. Its totient is φ = 21111121111956.

The previous prime is 21111121111907. The next prime is 21111121111963. The reversal of 21111121111957 is 75911112111112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19432103810596 + 1679017301361 = 4408186^2 + 1295769^2 .

It is a cyclic number.

It is not a de Polignac number, because 21111121111957 - 2¹¹ = 21111121109909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21111121111907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10555560555978 + 10555560555979.

It is an arithmetic number, because the mean of its divisors is an integer number (10555560555979).

Almost surely, 2^{21111121111957} is an apocalyptic number.

It is an amenable number.

21111121111957 is a deficient number, since it is larger than the sum of its proper divisors (1).

21111121111957 is an equidigital number, since it uses as much as digits as its factorization.

21111121111957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1260, while the sum is 34.

The spelling of 21111121111957 in words is "twenty-one trillion, one hundred eleven billion, one hundred twenty-one million, one hundred eleven thousand, nine hundred fifty-seven".