221000102112 has 96 divisors (see below), whose sum is σ = 599010370560. Its totient is φ = 71269954560.

The previous prime is 221000102111. The next prime is 221000102161. The reversal of 221000102112 is 211201000122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221000102111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13112763 + ... + 13129605.

It is an arithmetic number, because the mean of its divisors is an integer number (6239691360).

Almost surely, 2^221000102112 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 221000102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299505185280).

221000102112 is an abundant number, since it is smaller than the sum of its proper divisors (378010268448).

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

221000102112 is a wasteful number, since it uses less digits than its factorization.

221000102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21296 (or 21288 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221000102112 its reverse (211201000122), we get a palindrome (432201102234).

The spelling of 221000102112 in words is "two hundred twenty-one billion, one hundred two thousand, one hundred twelve".