102222122000129 has 2 divisors, whose sum is σ = 102222122000130. Its totient is φ = 102222122000128.

The previous prime is 102222122000039. The next prime is 102222122000137. The reversal of 102222122000129 is 921000221222201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79063698217729 + 23158423782400 = 8891777^2 + 4812320^2 .

It is a cyclic number.

It is not a de Polignac number, because 102222122000129 - 2²⁸ = 102221853564673 is a prime.

It is a super-3 number, since 3×102222122000129³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102222122000098 and 102222122000107.

It is not a weakly prime, because it can be changed into another prime (102222122080129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51111061000064 + 51111061000065.

It is an arithmetic number, because the mean of its divisors is an integer number (51111061000065).

Almost surely, 2^{102222122000129} is an apocalyptic number.

It is an amenable number.

102222122000129 is a deficient number, since it is larger than the sum of its proper divisors (1).

102222122000129 is an equidigital number, since it uses as much as digits as its factorization.

102222122000129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 102222122000129 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-nine", and thus it is an aban number.