102112001233001 has 2 divisors, whose sum is σ = 102112001233002. Its totient is φ = 102112001233000.

The previous prime is 102112001232979. The next prime is 102112001233003. The reversal of 102112001233001 is 100332100211201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96080674305625 + 6031326927376 = 9802075^2 + 2455876^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112001233001 - 2¹⁸ = 102112000970857 is a prime.

Together with 102112001233003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102112001233003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056000616500 + 51056000616501.

It is an arithmetic number, because the mean of its divisors is an integer number (51056000616501).

Almost surely, 2^{102112001233001} is an apocalyptic number.

It is an amenable number.

102112001233001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112001233001 is an equidigital number, since it uses as much as digits as its factorization.

102112001233001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 102112001233001 its reverse (100332100211201), we get a palindrome (202444101444202).

The spelling of 102112001233001 in words is "one hundred two trillion, one hundred twelve billion, one million, two hundred thirty-three thousand, one".