220101102100 has 144 divisors (see below), whose sum is σ = 528903648000. Its totient is φ = 78833664000.

The previous prime is 220101102097. The next prime is 220101102113. The reversal of 220101102100 is 1201101022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39015280 + ... + 39020920.

It is an arithmetic number, because the mean of its divisors is an integer number (3672942000).

Almost surely, 2^220101102100 is an apocalyptic number.

220101102100 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 220101102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264451824000).

220101102100 is an abundant number, since it is smaller than the sum of its proper divisors (308802545900).

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

220101102100 is a wasteful number, since it uses less digits than its factorization.

220101102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6194 (or 6187 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 220101102100 its reverse (1201101022), we get a palindrome (221302203122).

The spelling of 220101102100 in words is "two hundred twenty billion, one hundred one million, one hundred two thousand, one hundred".