121121100 has 108 divisors (see below), whose sum is σ = 386251320. Its totient is φ = 31737600.

The previous prime is 121121083. The next prime is 121121113. The reversal of 121121100 is 1121121.

It is a happy number.

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 35 ways as a sum of consecutive naturals, for example, 51960 + ... + 54240.

Almost surely, 2^121121100 is an apocalyptic number.

121121100 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 121121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193125660).

121121100 is an abundant number, since it is smaller than the sum of its proper divisors (265130220).

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

121121100 is a wasteful number, since it uses less digits than its factorization.

121121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360 (or 2350 counting only the distinct ones).

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

The square root of 121121100 is about 11005.5031688697. The cubic root of 121121100 is about 494.7736951453.

Adding to 121121100 its reverse (1121121), we get a palindrome (122242221).

The spelling of 121121100 in words is "one hundred twenty-one million, one hundred twenty-one thousand, one hundred".