121895100 has 216 divisors, whose sum is σ = 419223168. Its totient is φ = 29491200.

The previous prime is 121895099. The next prime is 121895113. The reversal of 121895100 is 1598121.

It is a congruent number.

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, 474172 + ... + 474428.

It is an arithmetic number, because the mean of its divisors is an integer number (1940848).

Almost surely, 2^121895100 is an apocalyptic number.

121895100 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 121895100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209611584).

121895100 is an abundant number, since it is smaller than the sum of its proper divisors (297328068).

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

121895100 is a wasteful number, since it uses less digits than its factorization.

121895100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 121895100 is about 11040.6113961139. The cubic root of 121895100 is about 495.8253753558.

The spelling of 121895100 in words is "one hundred twenty-one million, eight hundred ninety-five thousand, one hundred".