122221111201100 has 72 divisors (see below), whose sum is σ = 274467447959040. Its totient is φ = 47185066001920.

The previous prime is 122221111201099. The next prime is 122221111201103. The reversal of 122221111201100 is 1102111122221.

It is not an unprimeable number, because it can be changed into a prime (122221111201103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50129 + ... + 15634728.

It is an arithmetic number, because the mean of its divisors is an integer number (3812047888320).

Almost surely, 2^{122221111201100} is an apocalyptic number.

122221111201100 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 122221111201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137233723979520).

122221111201100 is an abundant number, since it is smaller than the sum of its proper divisors (152246336757940).

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

122221111201100 is a wasteful number, since it uses less digits than its factorization.

122221111201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15687587 (or 15687580 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 122221111201100 its reverse (1102111122221), we get a palindrome (123323222323321).

The spelling of 122221111201100 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, one hundred eleven million, two hundred one thousand, one hundred".