100120001112 has 48 divisors (see below), whose sum is σ = 278486947440. Its totient is φ = 32471350848.

The previous prime is 100120001081. The next prime is 100120001119. The reversal of 100120001112 is 211100021001.

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 = 100120001094 and 100120001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120001119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18788628 + ... + 18793955.

It is an arithmetic number, because the mean of its divisors is an integer number (5801811405).

Almost surely, 2^100120001112 is an apocalyptic number.

100120001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100120001112 is an abundant number, since it is smaller than the sum of its proper divisors (178366946328).

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

100120001112 is a wasteful number, since it uses less digits than its factorization.

100120001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37582632 (or 37582625 counting only the distinct ones).

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

Adding to 100120001112 its reverse (211100021001), we get a palindrome (311220022113).

The spelling of 100120001112 in words is "one hundred billion, one hundred twenty million, one thousand, one hundred twelve".