121111102001957 has 2 divisors, whose sum is σ = 121111102001958. Its totient is φ = 121111102001956.

The previous prime is 121111102001947. The next prime is 121111102002061. The reversal of 121111102001957 is 759100201111121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107630851971841 + 13480250030116 = 10374529^2 + 3671546^2 .

It is an emirp because it is prime and its reverse (759100201111121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 121111102001957 - 2⁴ = 121111102001941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121111102001947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60555551000978 + 60555551000979.

It is an arithmetic number, because the mean of its divisors is an integer number (60555551000979).

Almost surely, 2^{121111102001957} is an apocalyptic number.

It is an amenable number.

121111102001957 is a deficient number, since it is larger than the sum of its proper divisors (1).

121111102001957 is an equidigital number, since it uses as much as digits as its factorization.

121111102001957 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 121111102001957 in words is "one hundred twenty-one trillion, one hundred eleven billion, one hundred two million, one thousand, nine hundred fifty-seven".