100011222012 has 192 divisors, whose sum is σ = 269342760960. Its totient is φ = 28648166400.

The previous prime is 100011222001. The next prime is 100011222049. The reversal of 100011222012 is 210222110001.

100011222012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43614738 + ... + 43617030.

It is an arithmetic number, because the mean of its divisors is an integer number (1402826880).

Almost surely, 2^100011222012 is an apocalyptic number.

100011222012 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 100011222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134671380480).

100011222012 is an abundant number, since it is smaller than the sum of its proper divisors (169331538948).

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

100011222012 is a wasteful number, since it uses less digits than its factorization.

100011222012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100011222012 its reverse (210222110001), we get a palindrome (310233332013).

The spelling of 100011222012 in words is "one hundred billion, eleven million, two hundred twenty-two thousand, twelve".