202122008129 has 2 divisors, whose sum is σ = 202122008130. Its totient is φ = 202122008128.

The previous prime is 202122008069. The next prime is 202122008141. The reversal of 202122008129 is 921800221202.

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., 202032270400 + 89737729 = 449480^2 + 9473^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-202122008129 is a prime.

It is not a weakly prime, because it can be changed into another prime (202122008159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101061004064 + 101061004065.

It is an arithmetic number, because the mean of its divisors is an integer number (101061004065).

Almost surely, 2^202122008129 is an apocalyptic number.

It is an amenable number.

202122008129 is a deficient number, since it is larger than the sum of its proper divisors (1).

202122008129 is an equidigital number, since it uses as much as digits as its factorization.

202122008129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 202122008129 in words is "two hundred two billion, one hundred twenty-two million, eight thousand, one hundred twenty-nine".