102112202002001 has 2 divisors, whose sum is σ = 102112202002002. Its totient is φ = 102112202002000.

The previous prime is 102112202001967. The next prime is 102112202002009. The reversal of 102112202002001 is 100200202211201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55118448672400 + 46993753329601 = 7424180^2 + 6855199^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102112202002001 is a prime.

It is not a weakly prime, because it can be changed into another prime (102112202002009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056101001000 + 51056101001001.

It is an arithmetic number, because the mean of its divisors is an integer number (51056101001001).

Almost surely, 2^{102112202002001} is an apocalyptic number.

It is an amenable number.

102112202002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112202002001 is an equidigital number, since it uses as much as digits as its factorization.

102112202002001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102112202002001 its reverse (100200202211201), we get a palindrome (202312404213202).

The spelling of 102112202002001 in words is "one hundred two trillion, one hundred twelve billion, two hundred two million, two thousand, one".