122222001100 has 108 divisors (see below), whose sum is σ = 280267093008. Its totient is φ = 46257552000.

The previous prime is 122222001061. The next prime is 122222001101. The reversal of 122222001100 is 1100222221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122222001101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38300505 + ... + 38303695.

It is an arithmetic number, because the mean of its divisors is an integer number (2595065676).

Almost surely, 2^122222001100 is an apocalyptic number.

122222001100 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 122222001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140133546504).

122222001100 is an abundant number, since it is smaller than the sum of its proper divisors (158045091908).

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

122222001100 is a wasteful number, since it uses less digits than its factorization.

122222001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4304 (or 4278 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122222001100 its reverse (1100222221), we get a palindrome (123322223321).

The spelling of 122222001100 in words is "one hundred twenty-two billion, two hundred twenty-two million, one thousand, one hundred".