102112100202001 has 2 divisors, whose sum is σ = 102112100202002. Its totient is φ = 102112100202000.

The previous prime is 102112100201999. The next prime is 102112100202017. The reversal of 102112100202001 is 100202001211201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99788911513600 + 2323188688401 = 9989440^2 + 1524201^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112100202001 - 2¹ = 102112100201999 is a prime.

Together with 102112100201999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (102112100202071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056050101000 + 51056050101001.

It is an arithmetic number, because the mean of its divisors is an integer number (51056050101001).

Almost surely, 2^{102112100202001} is an apocalyptic number.

It is an amenable number.

102112100202001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112100202001 is an equidigital number, since it uses as much as digits as its factorization.

102112100202001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102112100202001 its reverse (100202001211201), we get a palindrome (202314101413202).

The spelling of 102112100202001 in words is "one hundred two trillion, one hundred twelve billion, one hundred million, two hundred two thousand, one".