121112100 has 108 divisors (see below), whose sum is σ = 389986324. Its totient is φ = 31415040.

The previous prime is 121112093. The next prime is 121112107. The reversal of 121112100 is 1211121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121112093) and next prime (121112107).

It can be written as a sum of positive squares in 6 ways, for example, as 6022116 + 115089984 = 2454^2 + 10728^2 .

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

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (121112107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31482 + ... + 35118.

Almost surely, 2^121112100 is an apocalyptic number.

121112100 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 121112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194993162).

121112100 is an abundant number, since it is smaller than the sum of its proper divisors (268874224).

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

121112100 is a wasteful number, since it uses less digits than its factorization.

121112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3694 (or 3684 counting only the distinct ones).

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

The square root of 121112100 is about 11005.0942749256. The cubic root of 121112100 is about 494.7614399904.

Adding to 121112100 its reverse (1211121), we get a palindrome (122323221).

Multiplying 121112100 by its reverse (1211121), we get a square (146681407664100 = 12111210²).

121112100 divided by its reverse (1211121) gives a square (100 = 10²).

The spelling of 121112100 in words is "one hundred twenty-one million, one hundred twelve thousand, one hundred".