221011011200000 has 792 divisors, whose sum is σ = 670321706289984. Its totient is φ = 72479447040000.

The previous prime is 221011011199997. The next prime is 221011011200003. The reversal of 221011011200000 is 2110110122.

It is an interprime number because it is at equal distance from previous prime (221011011199997) and next prime (221011011200003).

It is a super-3 number, since 3×221011011200000³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (221011011200003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3606369359 + ... + 3606430641.

Almost surely, 2^{221011011200000} is an apocalyptic number.

221011011200000 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 221011011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335160853144992).

221011011200000 is an abundant number, since it is smaller than the sum of its proper divisors (449310695089984).

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

221011011200000 is an frugal number, since it uses more digits than its factorization.

221011011200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61365 (or 61320 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 221011011200000 its reverse (2110110122), we get a palindrome (221013121310122).

The spelling of 221011011200000 in words is "two hundred twenty-one trillion, eleven billion, eleven million, two hundred thousand".