2100323323121 has 2 divisors, whose sum is σ = 2100323323122. Its totient is φ = 2100323323120.

The previous prime is 2100323323093. The next prime is 2100323323123. The reversal of 2100323323121 is 1213233230012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2010338322496 + 89985000625 = 1417864^2 + 299975^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100323323121 - 2⁶ = 2100323323057 is a prime.

It is a super-2 number, since 2×2100323323121² (a number of 25 digits) contains 22 as substring.

Together with 2100323323123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2100323323123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050161661560 + 1050161661561.

It is an arithmetic number, because the mean of its divisors is an integer number (1050161661561).

Almost surely, 2^{2100323323121} is an apocalyptic number.

It is an amenable number.

2100323323121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100323323121 is an equidigital number, since it uses as much as digits as its factorization.

2100323323121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2100323323121 its reverse (1213233230012), we get a palindrome (3313556553133).

The spelling of 2100323323121 in words is "two trillion, one hundred billion, three hundred twenty-three million, three hundred twenty-three thousand, one hundred twenty-one".