100100120112 has 100 divisors (see below), whose sum is σ = 293386415520. Its totient is φ = 32944309632.

The previous prime is 100100120101. The next prime is 100100120119. The reversal of 100100120112 is 211021001001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100100120094 and 100100120103.

It is not an unprimeable number, because it can be changed into a prime (100100120119) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 386463 + ... + 591230.

Almost surely, 2^100100120112 is an apocalyptic number.

100100120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100100120112 is an abundant number, since it is smaller than the sum of its proper divisors (193286295408).

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

100100120112 is an equidigital number, since it uses as much as digits as its factorization.

100100120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977792 (or 977777 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100100120112 its reverse (211021001001), we get a palindrome (311121121113).

The spelling of 100100120112 in words is "one hundred billion, one hundred million, one hundred twenty thousand, one hundred twelve".