22121013300233 has 12 divisors (see below), whose sum is σ = 24151607807940. Its totient is φ = 20234102900256.

The previous prime is 22121013300227. The next prime is 22121013300263. The reversal of 22121013300233 is 33200331012122.

It can be written as a sum of positive squares in 2 ways, for example, as 8555139456889 + 13565873843344 = 2924917^2 + 3683188^2 .

It is not a de Polignac number, because 22121013300233 - 2¹⁴ = 22121013283849 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22121013300199 and 22121013300208.

It is not an unprimeable number, because it can be changed into a prime (22121013300263) 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, 1056490310 + ... + 1056511247.

It is an arithmetic number, because the mean of its divisors is an integer number (2012633983995).

Almost surely, 2^{22121013300233} is an apocalyptic number.

It is an amenable number.

22121013300233 is a deficient number, since it is larger than the sum of its proper divisors (2030594507707).

22121013300233 is a wasteful number, since it uses less digits than its factorization.

22121013300233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113001624 (or 2113001605 counting only the distinct ones).

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

Adding to 22121013300233 its reverse (33200331012122), we get a palindrome (55321344312355).

The spelling of 22121013300233 in words is "twenty-two trillion, one hundred twenty-one billion, thirteen million, three hundred thousand, two hundred thirty-three".