2121221002133 has 8 divisors (see below), whose sum is σ = 2173009314840. Its totient is φ = 2069435128320.

The previous prime is 2121221002091. The next prime is 2121221002157. The reversal of 2121221002133 is 3312001221212.

It can be written as a sum of positive squares in 4 ways, for example, as 704494992964 + 1416726009169 = 839342^2 + 1190263^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2121221002133 - 2²⁶ = 2121153893269 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121221002163) 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, 1217003 + ... + 2392391.

It is an arithmetic number, because the mean of its divisors is an integer number (271626164355).

Almost surely, 2^{2121221002133} is an apocalyptic number.

It is an amenable number.

2121221002133 is a deficient number, since it is larger than the sum of its proper divisors (51788312707).

2121221002133 is a wasteful number, since it uses less digits than its factorization.

2121221002133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219447.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2121221002133 its reverse (3312001221212), we get a palindrome (5433222223345).

The spelling of 2121221002133 in words is "two trillion, one hundred twenty-one billion, two hundred twenty-one million, two thousand, one hundred thirty-three".