220111122210100 has 288 divisors, whose sum is σ = 549307044599040. Its totient is φ = 75807653376000.

The previous prime is 220111122210017. The next prime is 220111122210107. The reversal of 220111122210100 is 1012221111022.

It is a super-2 number, since 2×220111122210100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220111122210107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12377605809 + ... + 12377623591.

It is an arithmetic number, because the mean of its divisors is an integer number (1907316127080).

Almost surely, 2^{220111122210100} is an apocalyptic number.

220111122210100 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 220111122210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274653522299520).

220111122210100 is an abundant number, since it is smaller than the sum of its proper divisors (329195922388940).

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

220111122210100 is a wasteful number, since it uses less digits than its factorization.

220111122210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25211 (or 25204 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 220111122210100 its reverse (1012221111022), we get a palindrome (221123343321122).

The spelling of 220111122210100 in words is "two hundred twenty trillion, one hundred eleven billion, one hundred twenty-two million, two hundred ten thousand, one hundred".