100200220200220 has 96 divisors (see below), whose sum is σ = 242414579957760. Its totient is φ = 34078710009600.

The previous prime is 100200220200203. The next prime is 100200220200229. The reversal of 100200220200220 is 22002022002001.

It is a super-2 number, since 2×100200220200220² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100200220200220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200220200229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11645637 + ... + 18330883.

It is an arithmetic number, because the mean of its divisors is an integer number (2525151874560).

Almost surely, 2^{100200220200220} is an apocalyptic number.

100200220200220 is a gapful number since it is divisible by the number (10) 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 100200220200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121207289978880).

100200220200220 is an abundant number, since it is smaller than the sum of its proper divisors (142214359757540).

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

100200220200220 is a wasteful number, since it uses less digits than its factorization.

100200220200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6686123 (or 6686121 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 100200220200220 its reverse (22002022002001), we get a palindrome (122202242202221).

The spelling of 100200220200220 in words is "one hundred trillion, two hundred billion, two hundred twenty million, two hundred thousand, two hundred twenty".