121760100 has 324 divisors, whose sum is σ = 486250128. Its totient is φ = 25200000.

The previous prime is 121760083. The next prime is 121760117. The reversal of 121760100 is 1067121.

It is an interprime number because it is at equal distance from previous prime (121760083) and next prime (121760117).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 484975 + ... + 485225.

It is an arithmetic number, because the mean of its divisors is an integer number (1500772).

Almost surely, 2^121760100 is an apocalyptic number.

121760100 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 121760100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243125064).

121760100 is an abundant number, since it is smaller than the sum of its proper divisors (364490028).

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

121760100 is a wasteful number, since it uses less digits than its factorization.

121760100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 121760100 is about 11034.4959105525. The cubic root of 121760100 is about 495.6422639433.

The spelling of 121760100 in words is "one hundred twenty-one million, seven hundred sixty thousand, one hundred".