221011011002112 has 144 divisors (see below), whose sum is σ = 591226277241600. Its totient is φ = 73292838322176.

The previous prime is 221011011002059. The next prime is 221011011002209. The reversal of 221011011002112 is 211200110110122.

It is a happy number.

It is a super-3 number, since 3×221011011002112³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221011011002091 and 221011011002100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1660758808 + ... + 1660891880.

It is an arithmetic number, because the mean of its divisors is an integer number (4105738036400).

Almost surely, 2^{221011011002112} 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 221011011002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295613138620800).

221011011002112 is an abundant number, since it is smaller than the sum of its proper divisors (370215266239488).

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

221011011002112 is a wasteful number, since it uses less digits than its factorization.

221011011002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144158 (or 144144 counting only the distinct ones).

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

Adding to 221011011002112 its reverse (211200110110122), we get a palindrome (432211121112234).

The spelling of 221011011002112 in words is "two hundred twenty-one trillion, eleven billion, eleven million, two thousand, one hundred twelve".