10102111102001 has 2 divisors, whose sum is σ = 10102111102002. Its totient is φ = 10102111102000.

The previous prime is 10102111101991. The next prime is 10102111102043. The reversal of 10102111102001 is 10020111120101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6831945212401 + 3270165889600 = 2613799^2 + 1808360^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102111102001 - 2⁶ = 10102111101937 is a prime.

It is not a weakly prime, because it can be changed into another prime (10102111102801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051055551000 + 5051055551001.

It is an arithmetic number, because the mean of its divisors is an integer number (5051055551001).

Almost surely, 2^{10102111102001} is an apocalyptic number.

It is an amenable number.

10102111102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102111102001 is an equidigital number, since it uses as much as digits as its factorization.

10102111102001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10102111102001 its reverse (10020111120101), we get a palindrome (20122222222102).

The spelling of 10102111102001 in words is "ten trillion, one hundred two billion, one hundred eleven million, one hundred two thousand, one".