121122122001157 has 2 divisors, whose sum is σ = 121122122001158. Its totient is φ = 121122122001156.

The previous prime is 121122122001079. The next prime is 121122122001161. The reversal of 121122122001157 is 751100221221121.

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., 64603512092161 + 56518609908996 = 8037631^2 + 7517886^2 .

It is a cyclic number.

It is not a de Polignac number, because 121122122001157 - 2¹⁵ = 121122121968389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121122122002157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60561061000578 + 60561061000579.

It is an arithmetic number, because the mean of its divisors is an integer number (60561061000579).

Almost surely, 2^{121122122001157} is an apocalyptic number.

It is an amenable number.

121122122001157 is a deficient number, since it is larger than the sum of its proper divisors (1).

121122122001157 is an equidigital number, since it uses as much as digits as its factorization.

121122122001157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1120, while the sum is 28.

Adding to 121122122001157 its reverse (751100221221121), we get a palindrome (872222343222278).

The spelling of 121122122001157 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred twenty-two million, one thousand, one hundred fifty-seven".