200221011011112 has 256 divisors, whose sum is σ = 632741202992640. Its totient is φ = 51376240521216.

The previous prime is 200221011011093. The next prime is 200221011011113. The reversal of 200221011011112 is 211110110122002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 200221011011091 and 200221011011100.

It is not an unprimeable number, because it can be changed into a prime (200221011011113) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3164167218 + ... + 3164230494.

It is an arithmetic number, because the mean of its divisors is an integer number (2471645324190).

Almost surely, 2^{200221011011112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200221011011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316370601496320).

200221011011112 is an abundant number, since it is smaller than the sum of its proper divisors (432520191981528).

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

200221011011112 is a wasteful number, since it uses less digits than its factorization.

200221011011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102500 (or 102496 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 200221011011112 its reverse (211110110122002), we get a palindrome (411331121133114).

The spelling of 200221011011112 in words is "two hundred trillion, two hundred twenty-one billion, eleven million, eleven thousand, one hundred twelve".