101222002129 has 2 divisors, whose sum is σ = 101222002130. Its totient is φ = 101222002128.

The previous prime is 101222002127. The next prime is 101222002139. The reversal of 101222002129 is 921200222101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98687081025 + 2534921104 = 314145^2 + 50348^2 .

It is a cyclic number.

It is not a de Polignac number, because 101222002129 - 2¹ = 101222002127 is a prime.

Together with 101222002127, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101222002127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611001064 + 50611001065.

It is an arithmetic number, because the mean of its divisors is an integer number (50611001065).

Almost surely, 2^101222002129 is an apocalyptic number.

It is an amenable number.

101222002129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101222002129 is an equidigital number, since it uses as much as digits as its factorization.

101222002129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 101222002129 in words is "one hundred one billion, two hundred twenty-two million, two thousand, one hundred twenty-nine".