122210111100 has 576 divisors, whose sum is σ = 454720896000. Its totient is φ = 25119360000.

The previous prime is 122210111087. The next prime is 122210111113. The reversal of 122210111100 is 1111012221.

It is an interprime number because it is at equal distance from previous prime (122210111087) and next prime (122210111113).

It is a super-2 number, since 2×122210111100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 114321366 + ... + 114322434.

It is an arithmetic number, because the mean of its divisors is an integer number (789446000).

Almost surely, 2^122210111100 is an apocalyptic number.

122210111100 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 122210111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227360448000).

122210111100 is an abundant number, since it is smaller than the sum of its proper divisors (332510784900).

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

122210111100 is a wasteful number, since it uses less digits than its factorization.

122210111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122210111100 its reverse (1111012221), we get a palindrome (123321123321).

The spelling of 122210111100 in words is "one hundred twenty-two billion, two hundred ten million, one hundred eleven thousand, one hundred".