121100112 has 240 divisors, whose sum is σ = 423401472. Its totient is φ = 31518720.

The previous prime is 121100107. The next prime is 121100117. The reversal of 121100112 is 211001121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121100107) and next prime (121100117).

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

It is a junction number, because it is equal to n+sod(n) for n = 121100094 and 121100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121100117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 633937 + ... + 634127.

Almost surely, 2^121100112 is an apocalyptic number.

121100112 is a gapful number since it is divisible by the number (12) 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 121100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211700736).

121100112 is an abundant number, since it is smaller than the sum of its proper divisors (302301360).

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

121100112 is a wasteful number, since it uses less digits than its factorization.

121100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 257 counting only the distinct ones).

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

The square root of 121100112 is about 11004.5496045954. The cubic root of 121100112 is about 494.7451151810.

Adding to 121100112 its reverse (211001121), we get a palindrome (332101233).

The spelling of 121100112 in words is "one hundred twenty-one million, one hundred thousand, one hundred twelve".