100322112000 has 320 divisors, whose sum is σ = 363875960448. Its totient is φ = 24320000000.

The previous prime is 100322111963. The next prime is 100322112031. The reversal of 100322112000 is 211223001.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×100322112000² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2088250 + ... + 2135750.

Almost surely, 2^100322112000 is an apocalyptic number.

100322112000 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 100322112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181937980224).

100322112000 is an abundant number, since it is smaller than the sum of its proper divisors (263553848448).

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

100322112000 is an equidigital number, since it uses as much as digits as its factorization.

100322112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47548 (or 47522 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100322112000 its reverse (211223001), we get a palindrome (100533335001).

The spelling of 100322112000 in words is "one hundred billion, three hundred twenty-two million, one hundred twelve thousand".