221011111101200 has 180 divisors, whose sum is σ = 617684551425252. Its totient is φ = 75773413094400.

The previous prime is 221011111101133. The next prime is 221011111101223. The reversal of 221011111101200 is 2101111110122.

It can be written as a sum of positive squares in 6 ways, for example, as 778862731024 + 220232248370176 = 882532^2 + 14840224^2 .

It is a super-2 number, since 2×221011111101200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1002566990 + ... + 1002787410.

Almost surely, 2^{221011111101200} is an apocalyptic number.

221011111101200 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 221011111101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308842275712626).

221011111101200 is an abundant number, since it is smaller than the sum of its proper divisors (396673440324052).

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

221011111101200 is a wasteful number, since it uses less digits than its factorization.

221011111101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271610 (or 271592 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 221011111101200 its reverse (2101111110122), we get a palindrome (223112222211322).

The spelling of 221011111101200 in words is "two hundred twenty-one trillion, eleven billion, one hundred eleven million, one hundred one thousand, two hundred".