102111022129 has 2 divisors, whose sum is σ = 102111022130. Its totient is φ = 102111022128.

The previous prime is 102111022103. The next prime is 102111022229. The reversal of 102111022129 is 921220111201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95505721600 + 6605300529 = 309040^2 + 81273^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102111022129 is a prime.

It is not a weakly prime, because it can be changed into another prime (102111022229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055511064 + 51055511065.

It is an arithmetic number, because the mean of its divisors is an integer number (51055511065).

Almost surely, 2^102111022129 is an apocalyptic number.

It is an amenable number.

102111022129 is a deficient number, since it is larger than the sum of its proper divisors (1).

102111022129 is an equidigital number, since it uses as much as digits as its factorization.

102111022129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 102111022129 in words is "one hundred two billion, one hundred eleven million, twenty-two thousand, one hundred twenty-nine".