10102110102001 has 4 divisors (see below), whose sum is σ = 10110663964404. Its totient is φ = 10093556239600.

The previous prime is 10102110101987. The next prime is 10102110102013. The reversal of 10102110102001 is 10020101120101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 9299206291600 + 802903810401 = 3049460^2 + 896049^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102110102001 - 2²³ = 10102101713393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102110102701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4276929430 + ... + 4276931791.

It is an arithmetic number, because the mean of its divisors is an integer number (2527665991101).

Almost surely, 2^{10102110102001} is an apocalyptic number.

It is an amenable number.

10102110102001 is a deficient number, since it is larger than the sum of its proper divisors (8553862403).

10102110102001 is an equidigital number, since it uses as much as digits as its factorization.

10102110102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8553862402.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10102110102001 its reverse (10020101120101), we get a palindrome (20122211222102).

The spelling of 10102110102001 in words is "ten trillion, one hundred two billion, one hundred ten million, one hundred two thousand, one".