122221110111100 has 1728 divisors, whose sum is σ = 376658492313600. Its totient is φ = 33470807040000.

The previous prime is 122221110111091. The next prime is 122221110111161. The reversal of 122221110111100 is 1111011122221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 350203753726 + ... + 350203754074.

Almost surely, 2^{122221110111100} is an apocalyptic number.

122221110111100 is a gapful number since it is divisible by the number (10) 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 122221110111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188329246156800).

122221110111100 is an abundant number, since it is smaller than the sum of its proper divisors (254437382202500).

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

122221110111100 is a wasteful number, since it uses less digits than its factorization.

122221110111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 602 counting only the distinct ones).

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

Adding to 122221110111100 its reverse (1111011122221), we get a palindrome (123332121233321).

It can be divided in two parts, 1222211 and 10111100, that added together give a palindrome (11333311).

The spelling of 122221110111100 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, one hundred ten million, one hundred eleven thousand, one hundred".