202210101220129 has 2 divisors, whose sum is σ = 202210101220130. Its totient is φ = 202210101220128.

The previous prime is 202210101220091. The next prime is 202210101220133. The reversal of 202210101220129 is 921022101012202.

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., 189770654378529 + 12439446841600 = 13775727^2 + 3526960^2 .

It is a cyclic number.

It is not a de Polignac number, because 202210101220129 - 2¹⁷ = 202210101089057 is a prime.

It is not a weakly prime, because it can be changed into another prime (202210101220159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101105050610064 + 101105050610065.

It is an arithmetic number, because the mean of its divisors is an integer number (101105050610065).

Almost surely, 2^{202210101220129} is an apocalyptic number.

It is an amenable number.

202210101220129 is a deficient number, since it is larger than the sum of its proper divisors (1).

202210101220129 is an equidigital number, since it uses as much as digits as its factorization.

202210101220129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 202210101220129 in words is "two hundred two trillion, two hundred ten billion, one hundred one million, two hundred twenty thousand, one hundred twenty-nine".