10002100002331 has 8 divisors (see below), whose sum is σ = 10129041169920. Its totient is φ = 9875167142568.

The previous prime is 10002100002299. The next prime is 10002100002337. The reversal of 10002100002331 is 13320000120001.

10002100002331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10002100002331 - 2⁵ = 10002100002299 is a prime.

It is a super-2 number, since 2×10002100002331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002100002337) 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, 364290 + ... + 4487416.

It is an arithmetic number, because the mean of its divisors is an integer number (1266130146240).

Almost surely, 2^{10002100002331} is an apocalyptic number.

10002100002331 is a deficient number, since it is larger than the sum of its proper divisors (126941167589).

10002100002331 is an equidigital number, since it uses as much as digits as its factorization.

10002100002331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4153913.

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

Adding to 10002100002331 its reverse (13320000120001), we get a palindrome (23322100122332).

The spelling of 10002100002331 in words is "ten trillion, two billion, one hundred million, two thousand, three hundred thirty-one".