102012102001001 has 2 divisors, whose sum is σ = 102012102001002. Its totient is φ = 102012102001000.

The previous prime is 102012102000979. The next prime is 102012102001013. The reversal of 102012102001001 is 100100201210201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96823159695376 + 5188942305625 = 9839876^2 + 2277925^2 .

It is an emirp because it is prime and its reverse (100100201210201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102012102001001 - 2¹⁸ = 102012101738857 is a prime.

It is not a weakly prime, because it can be changed into another prime (102012102001081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51006051000500 + 51006051000501.

It is an arithmetic number, because the mean of its divisors is an integer number (51006051000501).

Almost surely, 2^{102012102001001} is an apocalyptic number.

It is an amenable number.

102012102001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102012102001001 is an equidigital number, since it uses as much as digits as its factorization.

102012102001001 is an evil number, because the sum of its binary digits is even.

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

Adding to 102012102001001 its reverse (100100201210201), we get a palindrome (202112303211202).

The spelling of 102012102001001 in words is "one hundred two trillion, twelve billion, one hundred two million, one thousand, one".