10102002102001 has 8 divisors (see below), whose sum is σ = 10452320041320. Its totient is φ = 9751815698688.

The previous prime is 10102002101993. The next prime is 10102002102029. The reversal of 10102002102001 is 10020120020101.

10102002102001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3384569678400 + 6717432423601 = 1839720^2 + 2591801^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10102002102001 - 2³ = 10102002101993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102002105001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32727726 + ... + 33034951.

It is an arithmetic number, because the mean of its divisors is an integer number (1306540005165).

Almost surely, 2^{10102002102001} is an apocalyptic number.

It is an amenable number.

10102002102001 is a deficient number, since it is larger than the sum of its proper divisors (350317939319).

10102002102001 is an equidigital number, since it uses as much as digits as its factorization.

10102002102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65768003.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10102002102001 its reverse (10020120020101), we get a palindrome (20122122122102).

The spelling of 10102002102001 in words is "ten trillion, one hundred two billion, two million, one hundred two thousand, one".