100111110012 has 72 divisors (see below), whose sum is σ = 259958552672. Its totient is φ = 32460912000.

The previous prime is 100111109981. The next prime is 100111110013. The reversal of 100111110012 is 210011111001.

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 = 100111109976 and 100111110003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111110013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10106262 + ... + 10116162.

Almost surely, 2^100111110012 is an apocalyptic number.

100111110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100111110012 is an abundant number, since it is smaller than the sum of its proper divisors (159847442660).

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

100111110012 is a wasteful number, since it uses less digits than its factorization.

100111110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17539 (or 17534 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100111110012 its reverse (210011111001), we get a palindrome (310122221013).

It can be divided in two parts, 10011111001 and 2, that multiplied together give a palindrome (20022222002).

The spelling of 100111110012 in words is "one hundred billion, one hundred eleven million, one hundred ten thousand, twelve".