221202002112 has 224 divisors, whose sum is σ = 720894623232. Its totient is φ = 58292822016.

The previous prime is 221202002111. The next prime is 221202002113. The reversal of 221202002112 is 211200202122.

It is an interprime number because it is at equal distance from previous prime (221202002111) and next prime (221202002113).

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 221202002091 and 221202002100.

It is not an unprimeable number, because it can be changed into a prime (221202002111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25906708 + ... + 25915244.

It is an arithmetic number, because the mean of its divisors is an integer number (3218279568).

Almost surely, 2^221202002112 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 221202002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360447311616).

221202002112 is an abundant number, since it is smaller than the sum of its proper divisors (499692621120).

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

221202002112 is a wasteful number, since it uses less digits than its factorization.

221202002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10055 (or 10045 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221202002112 its reverse (211200202122), we get a palindrome (432402204234).

The spelling of 221202002112 in words is "two hundred twenty-one billion, two hundred two million, two thousand, one hundred twelve".