220011002100 has 432 divisors, whose sum is σ = 742242382336. Its totient is φ = 54400896000.

The previous prime is 220011002093. The next prime is 220011002129. The reversal of 220011002100 is 1200110022.

220011002100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69162510 + ... + 69165690.

Almost surely, 2^220011002100 is an apocalyptic number.

220011002100 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 220011002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371121191168).

220011002100 is an abundant number, since it is smaller than the sum of its proper divisors (522231380236).

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

220011002100 is a wasteful number, since it uses less digits than its factorization.

220011002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 220011002100 its reverse (1200110022), we get a palindrome (221211112122).

The spelling of 220011002100 in words is "two hundred twenty billion, eleven million, two thousand, one hundred".