221120133300 has 216 divisors, whose sum is σ = 758523118080. Its totient is φ = 53432870400.

The previous prime is 221120133277. The next prime is 221120133301. The reversal of 221120133300 is 3331021122.

221120133300 is a `hidden beast` number, since 2 + 211 + 20 + 133 + 300 = 666.

It is a super-2 number, since 2×221120133300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221120133301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3063021 + ... + 3134379.

Almost surely, 2^221120133300 is an apocalyptic number.

221120133300 is a gapful number since it is divisible by the number (20) 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 221120133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379261559040).

221120133300 is an abundant number, since it is smaller than the sum of its proper divisors (537402984780).

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

221120133300 is a wasteful number, since it uses less digits than its factorization.

221120133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71703 (or 71693 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 221120133300 its reverse (3331021122), we get a palindrome (224451154422).

The spelling of 221120133300 in words is "two hundred twenty-one billion, one hundred twenty million, one hundred thirty-three thousand, three hundred".