102100001100001 has 2 divisors, whose sum is σ = 102100001100002. Its totient is φ = 102100001100000.

The previous prime is 102100001099989. The next prime is 102100001100049. The reversal of 102100001100001 is 100001100001201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67361660982225 + 34738340117776 = 8207415^2 + 5893924^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100001100001 - 2²¹ = 102099999002849 is a prime.

It is not a weakly prime, because it can be changed into another prime (102100001100401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050000550000 + 51050000550001.

It is an arithmetic number, because the mean of its divisors is an integer number (51050000550001).

Almost surely, 2^{102100001100001} is an apocalyptic number.

It is an amenable number.

102100001100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100001100001 is an equidigital number, since it uses as much as digits as its factorization.

102100001100001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 102100001100001 its reverse (100001100001201), we get a palindrome (202101101101202).

The spelling of 102100001100001 in words is "one hundred two trillion, one hundred billion, one million, one hundred thousand, one".