100121331120 has 40 divisors (see below), whose sum is σ = 310376127216. Its totient is φ = 26699021568.

The previous prime is 100121331091. The next prime is 100121331169. The reversal of 100121331120 is 21133121001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100121331120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208585867 + ... + 208586346.

Almost surely, 2^100121331120 is an apocalyptic number.

100121331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121331120 is an abundant number, since it is smaller than the sum of its proper divisors (210254796096).

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

100121331120 is a wasteful number, since it uses less digits than its factorization.

100121331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417172229 (or 417172223 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100121331120 its reverse (21133121001), we get a palindrome (121254452121).

The spelling of 100121331120 in words is "one hundred billion, one hundred twenty-one million, three hundred thirty-one thousand, one hundred twenty".