20111233132221 has 256 divisors, whose sum is σ = 35198558208000. Its totient is φ = 10122029568000.

The previous prime is 20111233132217. The next prime is 20111233132223. The reversal of 20111233132221 is 12223133211102.

It is not a de Polignac number, because 20111233132221 - 2² = 20111233132217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20111233132191 and 20111233132200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20111233132223) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11433332340 + ... + 11433334098.

It is an arithmetic number, because the mean of its divisors is an integer number (137494368000).

Almost surely, 2^{20111233132221} is an apocalyptic number.

20111233132221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20111233132221 is a deficient number, since it is larger than the sum of its proper divisors (15087325075779).

20111233132221 is a wasteful number, since it uses less digits than its factorization.

20111233132221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 20111233132221 its reverse (12223133211102), we get a palindrome (32334366343323).

It can be divided in two parts, 201112 and 33132221, that added together give a palindrome (33333333).

The spelling of 20111233132221 in words is "twenty trillion, one hundred eleven billion, two hundred thirty-three million, one hundred thirty-two thousand, two hundred twenty-one".