122221114100 has 72 divisors (see below), whose sum is σ = 280945565208. Its totient is φ = 45992243200.

The previous prime is 122221114097. The next prime is 122221114129. The reversal of 122221114100 is 1411122221.

It can be written as a sum of positive squares in 12 ways, for example, as 42404693776 + 79816420324 = 205924^2 + 282518^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4134974 + ... + 4164426.

It is an arithmetic number, because the mean of its divisors is an integer number (3902021739).

Almost surely, 2^122221114100 is an apocalyptic number.

122221114100 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 122221114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140472782604).

122221114100 is an abundant number, since it is smaller than the sum of its proper divisors (158724451108).

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

122221114100 is a wasteful number, since it uses less digits than its factorization.

122221114100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31925 (or 31918 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122221114100 its reverse (1411122221), we get a palindrome (123632236321).

The spelling of 122221114100 in words is "one hundred twenty-two billion, two hundred twenty-one million, one hundred fourteen thousand, one hundred".