102112200001249 has 2 divisors, whose sum is σ = 102112200001250. Its totient is φ = 102112200001248.

The previous prime is 102112200001211. The next prime is 102112200001261. The reversal of 102112200001249 is 942100002211201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97050712450624 + 5061487550625 = 9851432^2 + 2249775^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112200001249 - 2³³ = 102103610066657 is a prime.

It is not a weakly prime, because it can be changed into another prime (102112200004249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056100000624 + 51056100000625.

It is an arithmetic number, because the mean of its divisors is an integer number (51056100000625).

Almost surely, 2^{102112200001249} is an apocalyptic number.

It is an amenable number.

102112200001249 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112200001249 is an equidigital number, since it uses as much as digits as its factorization.

102112200001249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 102112200001249 in words is "one hundred two trillion, one hundred twelve billion, two hundred million, one thousand, two hundred forty-nine".