100013222000 has 80 divisors (see below), whose sum is σ = 241977964800. Its totient is φ = 39981139200.

The previous prime is 100013221999. The next prime is 100013222047. The reversal of 100013222000 is 222310001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3503786 + ... + 3532214.

It is an arithmetic number, because the mean of its divisors is an integer number (3024724560).

Almost surely, 2^100013222000 is an apocalyptic number.

100013222000 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 100013222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120988982400).

100013222000 is an abundant number, since it is smaller than the sum of its proper divisors (141964742800).

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

100013222000 is a wasteful number, since it uses less digits than its factorization.

100013222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30211 (or 30195 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 100013222000 its reverse (222310001), we get a palindrome (100235532001).

The spelling of 100013222000 in words is "one hundred billion, thirteen million, two hundred twenty-two thousand".