220102133100 has 144 divisors (see below), whose sum is σ = 692513988768. Its totient is φ = 53748264960.

The previous prime is 220102133087. The next prime is 220102133159. The reversal of 220102133100 is 1331201022.

220102133100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×220102133100² (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 220102133100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394507 + ... + 771906.

It is an arithmetic number, because the mean of its divisors is an integer number (4809124922).

Almost surely, 2^220102133100 is an apocalyptic number.

220102133100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220102133100 is an abundant number, since it is smaller than the sum of its proper divisors (472411855668).

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

220102133100 is a wasteful number, since it uses less digits than its factorization.

220102133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166484 (or 1166477 counting only the distinct ones).

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

Adding to 220102133100 its reverse (1331201022), we get a palindrome (221433334122).

The spelling of 220102133100 in words is "two hundred twenty billion, one hundred two million, one hundred thirty-three thousand, one hundred".