100221213030000 has 400 divisors, whose sum is σ = 334459334378400. Its totient is φ = 25834567680000.

The previous prime is 100221213029999. The next prime is 100221213030049. The reversal of 100221213030000 is 30312122001.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 133696236 + ... + 134443764.

It is an arithmetic number, because the mean of its divisors is an integer number (836148335946).

Almost surely, 2^{100221213030000} is an apocalyptic number.

100221213030000 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 100221213030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167229667189200).

100221213030000 is an abundant number, since it is smaller than the sum of its proper divisors (234238121348400).

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

100221213030000 is a wasteful number, since it uses less digits than its factorization.

100221213030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747710 (or 747689 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100221213030000 its reverse (30312122001), we get a palindrome (100251525152001).

The spelling of 100221213030000 in words is "one hundred trillion, two hundred twenty-one billion, two hundred thirteen million, thirty thousand".