220102220200100 has 216 divisors, whose sum is σ = 561541311555840. Its totient is φ = 74661051252480.

The previous prime is 220102220200097. The next prime is 220102220200117. The reversal of 220102220200100 is 1002022201022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 172151789 + ... + 173425611.

It is an arithmetic number, because the mean of its divisors is an integer number (2599728294240).

Almost surely, 2^{220102220200100} is an apocalyptic number.

220102220200100 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 220102220200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280770655777920).

220102220200100 is an abundant number, since it is smaller than the sum of its proper divisors (341439091355740).

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

220102220200100 is a wasteful number, since it uses less digits than its factorization.

220102220200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274227 (or 1274213 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 220102220200100 its reverse (1002022201022), we get a palindrome (221104242401122).

The spelling of 220102220200100 in words is "two hundred twenty trillion, one hundred two billion, two hundred twenty million, two hundred thousand, one hundred".