220102112102100 has 72 divisors (see below), whose sum is σ = 636966593591328. Its totient is φ = 58681194633600.

The previous prime is 220102112102083. The next prime is 220102112102101. The reversal of 220102112102100 is 1201211201022.

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 220102112102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220102112102101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77998434 + ... + 80771033.

It is an arithmetic number, because the mean of its divisors is an integer number (8846758244324).

Almost surely, 2^{220102112102100} is an apocalyptic number.

220102112102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220102112102100 is an abundant number, since it is smaller than the sum of its proper divisors (416864481489228).

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

220102112102100 is a wasteful number, since it uses less digits than its factorization.

220102112102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158774105 (or 158774098 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 220102112102100 its reverse (1201211201022), we get a palindrome (221303323303122).

The spelling of 220102112102100 in words is "two hundred twenty trillion, one hundred two billion, one hundred twelve million, one hundred two thousand, one hundred".