102112022002001 has 6 divisors (see below), whose sum is σ = 112238834101506. Its totient is φ = 92829110910800.

The previous prime is 102112022001953. The next prime is 102112022002049. The reversal of 102112022002001 is 100200220211201.

It is an interprime number because it is at equal distance from previous prime (102112022001953) and next prime (102112022002049).

It can be written as a sum of positive squares in only one way, i.e., 99345055905601 + 2766966096400 = 9967199^2 + 1663420^2 .

It is a de Polignac number, because none of the positive numbers 2^k-102112022002001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102112022002091) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 421950504020 + ... + 421950504261.

It is an arithmetic number, because the mean of its divisors is an integer number (18706472350251).

Almost surely, 2^{102112022002001} is an apocalyptic number.

102112022002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102112022002001 is a deficient number, since it is larger than the sum of its proper divisors (10126812099505).

102112022002001 is an equidigital number, since it uses as much as digits as its factorization.

102112022002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843901008303 (or 843901008292 counting only the distinct ones).

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

Adding to 102112022002001 its reverse (100200220211201), we get a palindrome (202312242213202).

The spelling of 102112022002001 in words is "one hundred two trillion, one hundred twelve billion, twenty-two million, two thousand, one".