100221220020000 has 480 divisors, whose sum is σ = 334327337555904. Its totient is φ = 26272396800000.

The previous prime is 100221220019971. The next prime is 100221220020007. The reversal of 100221220020000 is 20022122001.

100221220020000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (100221220020007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7272413110 + ... + 7272426890.

Almost surely, 2^{100221220020000} is an apocalyptic number.

100221220020000 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 100221220020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167163668777952).

100221220020000 is an abundant number, since it is smaller than the sum of its proper divisors (234106117535904).

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

100221220020000 is a wasteful number, since it uses less digits than its factorization.

100221220020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15862 (or 15839 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100221220020000 its reverse (20022122001), we get a palindrome (100241242142001).

The spelling of 100221220020000 in words is "one hundred trillion, two hundred twenty-one billion, two hundred twenty million, twenty thousand".