100111020012 has 96 divisors (see below), whose sum is σ = 270962496000. Its totient is φ = 31904047296.

The previous prime is 100111020011. The next prime is 100111020019. The reversal of 100111020012 is 210020111001.

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 = 100111019976 and 100111020003.

It is not an unprimeable number, because it can be changed into a prime (100111020011) 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 31 ways as a sum of consecutive naturals, for example, 5846239 + ... + 5863337.

It is an arithmetic number, because the mean of its divisors is an integer number (2822526000).

Almost surely, 2^100111020012 is an apocalyptic number.

100111020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135481248000).

100111020012 is an abundant number, since it is smaller than the sum of its proper divisors (170851475988).

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

100111020012 is a wasteful number, since it uses less digits than its factorization.

100111020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19492 (or 19484 counting only the distinct ones).

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

Adding to 100111020012 its reverse (210020111001), we get a palindrome (310131131013).

The spelling of 100111020012 in words is "one hundred billion, one hundred eleven million, twenty thousand, twelve".