100111200012 has 36 divisors (see below), whose sum is σ = 253075278456. Its totient is φ = 33368235840.

The previous prime is 100111200011. The next prime is 100111200073. The reversal of 100111200012 is 210002111001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 100111199967 and 100111200003.

It is not an unprimeable number, because it can be changed into a prime (100111200011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 531312 + ... + 694632.

It is an arithmetic number, because the mean of its divisors is an integer number (7029868846).

Almost surely, 2^100111200012 is an apocalyptic number.

100111200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100111200012 is an abundant number, since it is smaller than the sum of its proper divisors (152964078444).

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

100111200012 is a wasteful number, since it uses less digits than its factorization.

100111200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180358 (or 180353 counting only the distinct ones).

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

Adding to 100111200012 its reverse (210002111001), we get a palindrome (310113311013).

The spelling of 100111200012 in words is "one hundred billion, one hundred eleven million, two hundred thousand, twelve".