2100331312121 has 12 divisors (see below), whose sum is σ = 2586962697588. Its totient is φ = 1694384923392.

The previous prime is 2100331312117. The next prime is 2100331312213. The reversal of 2100331312121 is 1212131330012.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 706599954025 + 1393731358096 = 840595^2 + 1180564^2 .

It is not a de Polignac number, because 2100331312121 - 2² = 2100331312117 is a prime.

It is a super-2 number, since 2×2100331312121² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100331312093 and 2100331312102.

It is not an unprimeable number, because it can be changed into a prime (2100331312421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1260702236 + ... + 1260703901.

It is an arithmetic number, because the mean of its divisors is an integer number (215580224799).

Almost surely, 2^{2100331312121} is an apocalyptic number.

It is an amenable number.

2100331312121 is a deficient number, since it is larger than the sum of its proper divisors (486631385467).

2100331312121 is a wasteful number, since it uses less digits than its factorization.

2100331312121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521406168 (or 2521406161 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2100331312121 its reverse (1212131330012), we get a palindrome (3312462642133).

The spelling of 2100331312121 in words is "two trillion, one hundred billion, three hundred thirty-one million, three hundred twelve thousand, one hundred twenty-one".