121633100 has 36 divisors (see below), whose sum is σ = 266389200. Its totient is φ = 48202560.

The previous prime is 121633063. The next prime is 121633103. The reversal of 121633100 is 1336121.

It is a super-2 number, since 2×121633100² = 29589222031220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121633103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5321 + ... + 16479.

It is an arithmetic number, because the mean of its divisors is an integer number (7399700).

Almost surely, 2^121633100 is an apocalyptic number.

121633100 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 121633100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133194600).

121633100 is an abundant number, since it is smaller than the sum of its proper divisors (144756100).

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

121633100 is a wasteful number, since it uses less digits than its factorization.

121633100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11282 (or 11275 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 121633100 is about 11028.7397285456. The cubic root of 121633100 is about 495.4698799813.

Adding to 121633100 its reverse (1336121), we get a palindrome (122969221).

The spelling of 121633100 in words is "one hundred twenty-one million, six hundred thirty-three thousand, one hundred".