121122100122137 has 2 divisors, whose sum is σ = 121122100122138. Its totient is φ = 121122100122136.

The previous prime is 121122100122097. The next prime is 121122100122227. The reversal of 121122100122137 is 731221001221121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95062188000256 + 26059912121881 = 9749984^2 + 5104891^2 .

It is a cyclic number.

It is not a de Polignac number, because 121122100122137 - 2²⁰ = 121122099073561 is a prime.

It is not a weakly prime, because it can be changed into another prime (121122100125137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60561050061068 + 60561050061069.

It is an arithmetic number, because the mean of its divisors is an integer number (60561050061069).

Almost surely, 2^{121122100122137} is an apocalyptic number.

It is an amenable number.

121122100122137 is a deficient number, since it is larger than the sum of its proper divisors (1).

121122100122137 is an equidigital number, since it uses as much as digits as its factorization.

121122100122137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672, while the sum is 26.

Adding to 121122100122137 its reverse (731221001221121), we get a palindrome (852343101343258).

The spelling of 121122100122137 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred million, one hundred twenty-two thousand, one hundred thirty-seven".