2100312310321 has 16 divisors (see below), whose sum is σ = 2142517901328. Its totient is φ = 2058203680000.

The previous prime is 2100312310309. The next prime is 2100312310357. The reversal of 2100312310321 is 1230132130012.

It can be written as a sum of positive squares in 8 ways, for example, as 37756764721 + 2062555545600 = 194311^2 + 1436160^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100312310321 - 2¹⁷ = 2100312179249 is a prime.

It is a super-2 number, since 2×2100312310321² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100312910321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203888871 + ... + 203899171.

It is an arithmetic number, because the mean of its divisors is an integer number (133907368833).

Almost surely, 2^{2100312310321} is an apocalyptic number.

It is an amenable number.

2100312310321 is a deficient number, since it is larger than the sum of its proper divisors (42205591007).

2100312310321 is a wasteful number, since it uses less digits than its factorization.

2100312310321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14612.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2100312310321 its reverse (1230132130012), we get a palindrome (3330444440333).

The spelling of 2100312310321 in words is "two trillion, one hundred billion, three hundred twelve million, three hundred ten thousand, three hundred twenty-one".