112121100 has 324 divisors, whose sum is σ = 444544464. Its totient is φ = 23016960.

The previous prime is 112121099. The next prime is 112121117. The reversal of 112121100 is 1121211.

It is a happy number.

It is a super-2 number, since 2×112121100² = 25142282130420000, which contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 3030282 + ... + 3030318.

Almost surely, 2^112121100 is an apocalyptic number.

112121100 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 112121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222272232).

112121100 is an abundant number, since it is smaller than the sum of its proper divisors (332423364).

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

112121100 is a wasteful number, since it uses less digits than its factorization.

112121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 67 counting only the distinct ones).

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

The square root of 112121100 is about 10588.7251357281. The cubic root of 112121100 is about 482.2021213453.

Adding to 112121100 its reverse (1121211), we get a palindrome (113242311).

Multiplying 112121100 by its reverse (1121211), we get a square (125711410652100 = 11212110²).

112121100 divided by its reverse (1121211) gives a square (100 = 10²).

The spelling of 112121100 in words is "one hundred twelve million, one hundred twenty-one thousand, one hundred".