102011022102001 has 2 divisors, whose sum is σ = 102011022102002. Its totient is φ = 102011022102000.

The previous prime is 102011022101953. The next prime is 102011022102007. The reversal of 102011022102001 is 100201220110201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86721240755776 + 15289781346225 = 9312424^2 + 3910215^2 .

It is a cyclic number.

It is not a de Polignac number, because 102011022102001 - 2²⁷ = 102010887884273 is a prime.

It is not a weakly prime, because it can be changed into another prime (102011022102007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005511051000 + 51005511051001.

It is an arithmetic number, because the mean of its divisors is an integer number (51005511051001).

Almost surely, 2^{102011022102001} is an apocalyptic number.

It is an amenable number.

102011022102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102011022102001 is an equidigital number, since it uses as much as digits as its factorization.

102011022102001 is an evil number, because the sum of its binary digits is even.

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

Adding to 102011022102001 its reverse (100201220110201), we get a palindrome (202212242212202).

The spelling of 102011022102001 in words is "one hundred two trillion, eleven billion, twenty-two million, one hundred two thousand, one".