122101212011057 has 2 divisors, whose sum is σ = 122101212011058. Its totient is φ = 122101212011056.

The previous prime is 122101212011021. The next prime is 122101212011087. The reversal of 122101212011057 is 750110212101221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113668669725601 + 8432542285456 = 10661551^2 + 2903884^2 .

It is a cyclic number.

It is not a de Polignac number, because 122101212011057 - 2⁶ = 122101212010993 is a prime.

It is not a weakly prime, because it can be changed into another prime (122101212011017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050606005528 + 61050606005529.

It is an arithmetic number, because the mean of its divisors is an integer number (61050606005529).

Almost surely, 2^{122101212011057} is an apocalyptic number.

It is an amenable number.

122101212011057 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101212011057 is an equidigital number, since it uses as much as digits as its factorization.

122101212011057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 560, while the sum is 26.

Adding to 122101212011057 its reverse (750110212101221), we get a palindrome (872211424112278).

The spelling of 122101212011057 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred twelve million, eleven thousand, fifty-seven".