101121019957 has 2 divisors, whose sum is σ = 101121019958. Its totient is φ = 101121019956.

The previous prime is 101121019933. The next prime is 101121020003. The reversal of 101121019957 is 759910121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100594271556 + 526748401 = 317166^2 + 22951^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121019957 - 2⁷ = 101121019829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101121029957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560509978 + 50560509979.

It is an arithmetic number, because the mean of its divisors is an integer number (50560509979).

Almost surely, 2^101121019957 is an apocalyptic number.

It is an amenable number.

101121019957 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121019957 is an equidigital number, since it uses as much as digits as its factorization.

101121019957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5670, while the sum is 37.

The spelling of 101121019957 in words is "one hundred one billion, one hundred twenty-one million, nineteen thousand, nine hundred fifty-seven".