221022101200000 has 768 divisors, whose sum is σ = 575397702190080. Its totient is φ = 84468787200000.

The previous prime is 221022101199973. The next prime is 221022101200003. The reversal of 221022101200000 is 2101220122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (221022101200003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 422604399739 + ... + 422604400261.

It is an arithmetic number, because the mean of its divisors is an integer number (749215758060).

Almost surely, 2^{221022101200000} is an apocalyptic number.

221022101200000 is a gapful number since it is divisible by the number (20) 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 221022101200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287698851095040).

221022101200000 is an abundant number, since it is smaller than the sum of its proper divisors (354375600990080).

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

221022101200000 is an equidigital number, since it uses as much as digits as its factorization.

221022101200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 221022101200000 its reverse (2101220122), we get a palindrome (221024202420122).

The spelling of 221022101200000 in words is "two hundred twenty-one trillion, twenty-two billion, one hundred one million, two hundred thousand".