109111122100 has 72 divisors (see below), whose sum is σ = 252296273880. Its totient is φ = 40815390720.

The previous prime is 109111122097. The next prime is 109111122161. The reversal of 109111122100 is 1221111901.

It can be written as a sum of positive squares in 12 ways, for example, as 59874174864 + 49236947236 = 244692^2 + 221894^2 .

It is a super-2 number, since 2×109111122100² (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 62496 + ... + 471304.

It is an arithmetic number, because the mean of its divisors is an integer number (3504114915).

Almost surely, 2^109111122100 is an apocalyptic number.

109111122100 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 109111122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126148136940).

109111122100 is an abundant number, since it is smaller than the sum of its proper divisors (143185151780).

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

109111122100 is a wasteful number, since it uses less digits than its factorization.

109111122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408997 (or 408990 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 109111122100 in words is "one hundred nine billion, one hundred eleven million, one hundred twenty-two thousand, one hundred".