100012220000 has 480 divisors, whose sum is σ = 310276479744. Its totient is φ = 30816000000.

The previous prime is 100012219963. The next prime is 100012220029. The reversal of 100012220000 is 22210001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 100012220000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 155539679 + ... + 155540321.

Almost surely, 2^100012220000 is an apocalyptic number.

100012220000 is a gapful number since it is divisible by the number (10) 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 100012220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155138239872).

100012220000 is an abundant number, since it is smaller than the sum of its proper divisors (210264259744).

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

100012220000 is a wasteful number, since it uses less digits than its factorization.

100012220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 100012220000 its reverse (22210001), we get a palindrome (100034430001).

Subtracting from 100012220000 its reverse (22210001), we obtain a palindrome (99990009999).

The spelling of 100012220000 in words is "one hundred billion, twelve million, two hundred twenty thousand".