102012112001 has 2 divisors, whose sum is σ = 102012112002. Its totient is φ = 102012112000.

The previous prime is 102012111997. The next prime is 102012112019. The reversal of 102012112001 is 100211210201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101393843776 + 618268225 = 318424^2 + 24865^2 .

It is a cyclic number.

It is not a de Polignac number, because 102012112001 - 2² = 102012111997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (102012112801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51006056000 + 51006056001.

It is an arithmetic number, because the mean of its divisors is an integer number (51006056001).

Almost surely, 2^102012112001 is an apocalyptic number.

It is an amenable number.

102012112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102012112001 is an equidigital number, since it uses as much as digits as its factorization.

102012112001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102012112001 its reverse (100211210201), we get a palindrome (202223322202).

The spelling of 102012112001 in words is "one hundred two billion, twelve million, one hundred twelve thousand, one".