100012103120 has 20 divisors (see below), whose sum is σ = 232528139940. Its totient is φ = 40004841216.

The previous prime is 100012103111. The next prime is 100012103167. The reversal of 100012103120 is 21301210001.

It can be written as a sum of positive squares in 2 ways, for example, as 20918415424 + 79093687696 = 144632^2 + 281236^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 625075565 + ... + 625075724.

It is an arithmetic number, because the mean of its divisors is an integer number (11626406997).

Almost surely, 2^100012103120 is an apocalyptic number.

100012103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012103120 is an abundant number, since it is smaller than the sum of its proper divisors (132516036820).

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

100012103120 is a wasteful number, since it uses less digits than its factorization.

100012103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250151302 (or 1250151296 counting only the distinct ones).

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

Adding to 100012103120 its reverse (21301210001), we get a palindrome (121313313121).

The spelling of 100012103120 in words is "one hundred billion, twelve million, one hundred three thousand, one hundred twenty".