220100222211100 has 576 divisors, whose sum is σ = 629128885174272. Its totient is φ = 64835261568000.

The previous prime is 220100222210993. The next prime is 220100222211127. The reversal of 220100222211100 is 1112222001022.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5194329514 + ... + 5194371886.

It is an arithmetic number, because the mean of its divisors is an integer number (1092237647872).

Almost surely, 2^{220100222211100} is an apocalyptic number.

220100222211100 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 220100222211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314564442587136).

220100222211100 is an abundant number, since it is smaller than the sum of its proper divisors (409028662963172).

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

220100222211100 is a wasteful number, since it uses less digits than its factorization.

220100222211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42946 (or 42939 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 220100222211100 its reverse (1112222001022), we get a palindrome (221212444212122).

The spelling of 220100222211100 in words is "two hundred twenty trillion, one hundred billion, two hundred twenty-two million, two hundred eleven thousand, one hundred".