100213220000 has 240 divisors, whose sum is σ = 265593857760. Its totient is φ = 37086336000.

The previous prime is 100213219987. The next prime is 100213220047. The reversal of 100213220000 is 22312001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16336934 + ... + 16343066.

It is an arithmetic number, because the mean of its divisors is an integer number (1106641074).

Almost surely, 2^100213220000 is an apocalyptic number.

100213220000 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 100213220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132796928880).

100213220000 is an abundant number, since it is smaller than the sum of its proper divisors (165380637760).

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

100213220000 is an equidigital number, since it uses as much as digits as its factorization.

100213220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6225 (or 6202 counting only the distinct ones).

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

Adding to 100213220000 its reverse (22312001), we get a palindrome (100235532001).

The spelling of 100213220000 in words is "one hundred billion, two hundred thirteen million, two hundred twenty thousand".