100112100100120 has 16 divisors (see below), whose sum is σ = 225252225225360. Its totient is φ = 40044840040032.

The previous prime is 100112100100109. The next prime is 100112100100169. The reversal of 100112100100120 is 21001001211001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100112100100097 and 100112100100106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1251401251212 + ... + 1251401251291.

It is an arithmetic number, because the mean of its divisors is an integer number (14078264076585).

Almost surely, 2^{100112100100120} is an apocalyptic number.

100112100100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112100100120 is an abundant number, since it is smaller than the sum of its proper divisors (125140125125240).

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

100112100100120 is a wasteful number, since it uses less digits than its factorization.

100112100100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502802502514 (or 2502802502510 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100112100100120 its reverse (21001001211001), we get a palindrome (121113101311121).

The spelling of 100112100100120 in words is "one hundred trillion, one hundred twelve billion, one hundred million, one hundred thousand, one hundred twenty".