100121600 has 66 divisors (see below), whose sum is σ = 248243784. Its totient is φ = 40038400.

The previous prime is 100121591. The next prime is 100121639. The reversal of 100121600 is 6121001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23645 + ... + 27555.

Almost surely, 2^100121600 is an apocalyptic number.

100121600 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 100121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124121892).

100121600 is an abundant number, since it is smaller than the sum of its proper divisors (148122184).

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

100121600 is an equidigital number, since it uses as much as digits as its factorization.

100121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3941 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 100121600 is about 10006.0781528029. The cubic root of 100121600 is about 464.3469462211.

Adding to 100121600 its reverse (6121001), we get a palindrome (106242601).

The spelling of 100121600 in words is "one hundred million, one hundred twenty-one thousand, six hundred".