22010210012129 has 2 divisors, whose sum is σ = 22010210012130. Its totient is φ = 22010210012128.

The previous prime is 22010210012053. The next prime is 22010210012159. The reversal of 22010210012129 is 92121001201022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13000697499904 + 9009512512225 = 3605648^2 + 3001585^2 .

It is a cyclic number.

It is not a de Polignac number, because 22010210012129 - 2⁸ = 22010210011873 is a prime.

It is a super-2 number, since 2×22010210012129² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22010210012159) 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, 11005105006064 + 11005105006065.

It is an arithmetic number, because the mean of its divisors is an integer number (11005105006065).

Almost surely, 2^{22010210012129} is an apocalyptic number.

It is an amenable number.

22010210012129 is a deficient number, since it is larger than the sum of its proper divisors (1).

22010210012129 is an equidigital number, since it uses as much as digits as its factorization.

22010210012129 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 23.

The spelling of 22010210012129 in words is "twenty-two trillion, ten billion, two hundred ten million, twelve thousand, one hundred twenty-nine".