100121023120 has 40 divisors (see below), whose sum is σ = 232880579064. Its totient is φ = 40031342592.

The previous prime is 100121023109. The next prime is 100121023129. The reversal of 100121023120 is 21320121001.

It can be written as a sum of positive squares in 4 ways, for example, as 2567246224 + 97553776896 = 50668^2 + 312336^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 100121023120.

It is not an unprimeable number, because it can be changed into a prime (100121023129) by changing a digit.

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, 76929 + ... + 454048.

Almost surely, 2^100121023120 is an apocalyptic number.

100121023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121023120 is an abundant number, since it is smaller than the sum of its proper divisors (132759555944).

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

100121023120 is a wasteful number, since it uses less digits than its factorization.

100121023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533347 (or 533341 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100121023120 its reverse (21320121001), we get a palindrome (121441144121).

The spelling of 100121023120 in words is "one hundred billion, one hundred twenty-one million, twenty-three thousand, one hundred twenty".