21121322221233 has 32 divisors (see below), whose sum is σ = 33712195171200. Its totient is φ = 12992198223168.

The previous prime is 21121322221231. The next prime is 21121322221243. The reversal of 21121322221233 is 33212222312112.

21121322221233 is a `hidden beast` number, since 2 + 1 + 121 + 322 + 2 + 212 + 3 + 3 = 666.

It is not a de Polignac number, because 21121322221233 - 2¹ = 21121322221231 is a prime.

It is a super-2 number, since 2×21121322221233² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21121322221197 and 21121322221206.

It is not an unprimeable number, because it can be changed into a prime (21121322221231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11995698 + ... + 13643291.

It is an arithmetic number, because the mean of its divisors is an integer number (1053506099100).

Almost surely, 2^{21121322221233} is an apocalyptic number.

It is an amenable number.

21121322221233 is a deficient number, since it is larger than the sum of its proper divisors (12590872949967).

21121322221233 is a wasteful number, since it uses less digits than its factorization.

21121322221233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25641358 (or 25641352 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 21121322221233 its reverse (33212222312112), we get a palindrome (54333544533345).

The spelling of 21121322221233 in words is "twenty-one trillion, one hundred twenty-one billion, three hundred twenty-two million, two hundred twenty-one thousand, two hundred thirty-three".