121122021100957 has 2 divisors, whose sum is σ = 121122021100958. Its totient is φ = 121122021100956.

The previous prime is 121122021100807. The next prime is 121122021101047. The reversal of 121122021100957 is 759001120221121.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113611850760996 + 7510170339961 = 10658886^2 + 2740469^2 .

It is a cyclic number.

It is not a de Polignac number, because 121122021100957 - 2³⁵ = 121087661362589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121122021100757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60561010550478 + 60561010550479.

It is an arithmetic number, because the mean of its divisors is an integer number (60561010550479).

Almost surely, 2^{121122021100957} is an apocalyptic number.

It is an amenable number.

121122021100957 is a deficient number, since it is larger than the sum of its proper divisors (1).

121122021100957 is an equidigital number, since it uses as much as digits as its factorization.

121122021100957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 34.

The spelling of 121122021100957 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, twenty-one million, one hundred thousand, nine hundred fifty-seven".