100000121120 has 48 divisors (see below), whose sum is σ = 236303940600. Its totient is φ = 39990964224.

The previous prime is 100000121059. The next prime is 100000121141. The reversal of 100000121120 is 21121000001.

It can be written as a sum of positive squares in 4 ways, for example, as 99207360784 + 792760336 = 314972^2 + 28156^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 100000121098 and 100000121107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 659144 + ... + 796536.

Almost surely, 2^100000121120 is an apocalyptic number.

100000121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100000121120 is an abundant number, since it is smaller than the sum of its proper divisors (136303819480).

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

100000121120 is a wasteful number, since it uses less digits than its factorization.

100000121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141957 (or 141949 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100000121120 its reverse (21121000001), we get a palindrome (121121121121).

The spelling of 100000121120 in words is "one hundred billion, one hundred twenty-one thousand, one hundred twenty".