33221013233100 has 1728 divisors, whose sum is σ = 130806627840000. Its totient is φ = 6422465280000.

The previous prime is 33221013233047. The next prime is 33221013233117. The reversal of 33221013233100 is 133231012233.

It is a super-2 number, since 2×33221013233100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 22162116151 + ... + 22162117649.

It is an arithmetic number, because the mean of its divisors is an integer number (75698280000).

Almost surely, 2^{33221013233100} is an apocalyptic number.

33221013233100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33221013233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65403313920000).

33221013233100 is an abundant number, since it is smaller than the sum of its proper divisors (97585614606900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33221013233100 is a wasteful number, since it uses less digits than its factorization.

33221013233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 33221013233100 its reverse (133231012233), we get a palindrome (33354244245333).

The spelling of 33221013233100 in words is "thirty-three trillion, two hundred twenty-one billion, thirteen million, two hundred thirty-three thousand, one hundred".