2002100031301 has 8 divisors (see below), whose sum is σ = 2014226599320. Its totient is φ = 1990003667712.

The previous prime is 2002100031259. The next prime is 2002100031311. The reversal of 2002100031301 is 1031300012002.

It can be written as a sum of positive squares in 4 ways, for example, as 88774798401 + 1913325232900 = 297951^2 + 1383230^2 .

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 2002100031301 - 2³⁵ = 1967740292933 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002100031311) 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, 7418130 + ... + 7683283.

It is an arithmetic number, because the mean of its divisors is an integer number (251778324915).

Almost surely, 2^{2002100031301} is an apocalyptic number.

It is an amenable number.

2002100031301 is a deficient number, since it is larger than the sum of its proper divisors (12126568019).

2002100031301 is a wasteful number, since it uses less digits than its factorization.

2002100031301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15102215.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 2002100031301 its reverse (1031300012002), we get a palindrome (3033400043303).

The spelling of 2002100031301 in words is "two trillion, two billion, one hundred million, thirty-one thousand, three hundred one".