102222111212129 has 2 divisors, whose sum is σ = 102222111212130. Its totient is φ = 102222111212128.

The previous prime is 102222111212101. The next prime is 102222111212147. The reversal of 102222111212129 is 921212111222201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89171759886400 + 13050351325729 = 9443080^2 + 3612527^2 .

It is a cyclic number.

It is not a de Polignac number, because 102222111212129 - 2⁸ = 102222111211873 is a prime.

It is not a weakly prime, because it can be changed into another prime (102222111212149) 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, 51111055606064 + 51111055606065.

It is an arithmetic number, because the mean of its divisors is an integer number (51111055606065).

Almost surely, 2^{102222111212129} is an apocalyptic number.

It is an amenable number.

102222111212129 is a deficient number, since it is larger than the sum of its proper divisors (1).

102222111212129 is an equidigital number, since it uses as much as digits as its factorization.

102222111212129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 102222111212129 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred eleven million, two hundred twelve thousand, one hundred twenty-nine".