111122000100 has 216 divisors, whose sum is σ = 359805799080. Its totient is φ = 28663511040.

The previous prime is 111122000081. The next prime is 111122000117. The reversal of 111122000100 is 1000221111.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 125081856 + 110996918244 = 11184^2 + 333162^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5751256 + ... + 5770544.

Almost surely, 2^111122000100 is an apocalyptic number.

111122000100 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 111122000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179902899540).

111122000100 is an abundant number, since it is smaller than the sum of its proper divisors (248683798980).

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

111122000100 is a wasteful number, since it uses less digits than its factorization.

111122000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19519 (or 19509 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 111122000100 its reverse (1000221111), we get a palindrome (112122221211).

The spelling of 111122000100 in words is "one hundred eleven billion, one hundred twenty-two million, one hundred", and thus it is an aban number.