1022157634129 has 2 divisors, whose sum is σ = 1022157634130. Its totient is φ = 1022157634128.

The previous prime is 1022157634081. The next prime is 1022157634139. The reversal of 1022157634129 is 9214367512201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1017631035729 + 4526598400 = 1008777^2 + 67280^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022157634129 - 2²⁹ = 1021620763217 is a prime.

It is not a weakly prime, because it can be changed into another prime (1022157634139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511078817064 + 511078817065.

It is an arithmetic number, because the mean of its divisors is an integer number (511078817065).

Almost surely, 2^{1022157634129} is an apocalyptic number.

It is an amenable number.

1022157634129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022157634129 is an equidigital number, since it uses as much as digits as its factorization.

1022157634129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 1022157634129 in words is "one trillion, twenty-two billion, one hundred fifty-seven million, six hundred thirty-four thousand, one hundred twenty-nine".