2121011331093 has 12 divisors (see below), whose sum is σ = 3105651295500. Its totient is φ = 1394637587136.

The previous prime is 2121011331083. The next prime is 2121011331169. The reversal of 2121011331093 is 3901331101212.

2121011331093 is a `hidden beast` number, since 21 + 210 + 11 + 331 + 0 + 93 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1546359399729 + 574651931364 = 1243527^2 + 758058^2 .

It is not a de Polignac number, because 2121011331093 - 2²² = 2121007136789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121011331073) 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 11 ways as a sum of consecutive naturals, for example, 1614163218 + ... + 1614164531.

It is an arithmetic number, because the mean of its divisors is an integer number (258804274625).

Almost surely, 2^{2121011331093} is an apocalyptic number.

It is an amenable number.

2121011331093 is a deficient number, since it is larger than the sum of its proper divisors (984639964407).

2121011331093 is a wasteful number, since it uses less digits than its factorization.

2121011331093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228327828 (or 3228327825 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 2121011331093 in words is "two trillion, one hundred twenty-one billion, eleven million, three hundred thirty-one thousand, ninety-three".