10102101013001 has 2 divisors, whose sum is σ = 10102101013002. Its totient is φ = 10102101013000.

The previous prime is 10102101012931. The next prime is 10102101013007. The reversal of 10102101013001 is 10031010120101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9355639572601 + 746461440400 = 3058699^2 + 863980^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10102101013001 is a prime.

It is not a weakly prime, because it can be changed into another prime (10102101013007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051050506500 + 5051050506501.

It is an arithmetic number, because the mean of its divisors is an integer number (5051050506501).

Almost surely, 2^{10102101013001} is an apocalyptic number.

It is an amenable number.

10102101013001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102101013001 is an equidigital number, since it uses as much as digits as its factorization.

10102101013001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10102101013001 its reverse (10031010120101), we get a palindrome (20133111133102).

The spelling of 10102101013001 in words is "ten trillion, one hundred two billion, one hundred one million, thirteen thousand, one".