220033211100 has 144 divisors (see below), whose sum is σ = 643002761856. Its totient is φ = 58091040000.

The previous prime is 220033211053. The next prime is 220033211107. The reversal of 220033211100 is 1112330022.

It is a super-2 number, since 2×220033211100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220033211100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220033211107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12317175 + ... + 12335025.

Almost surely, 2^220033211100 is an apocalyptic number.

220033211100 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 220033211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321501380928).

220033211100 is an abundant number, since it is smaller than the sum of its proper divisors (422969550756).

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

220033211100 is a wasteful number, since it uses less digits than its factorization.

220033211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18276 (or 18269 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 220033211100 its reverse (1112330022), we get a palindrome (221145541122).

The spelling of 220033211100 in words is "two hundred twenty billion, thirty-three million, two hundred eleven thousand, one hundred".