221100101112 has 128 divisors (see below), whose sum is σ = 611670009600. Its totient is φ = 66042624000.

The previous prime is 221100101107. The next prime is 221100101129. The reversal of 221100101112 is 211101001122.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6034464 + ... + 6070992.

It is an arithmetic number, because the mean of its divisors is an integer number (4778671950).

Almost surely, 2^221100101112 is an apocalyptic number.

221100101112 is a gapful number since it is divisible by the number (22) 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 221100101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305835004800).

221100101112 is an abundant number, since it is smaller than the sum of its proper divisors (390569908488).

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

221100101112 is a wasteful number, since it uses less digits than its factorization.

221100101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36877 (or 36873 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 221100101112 its reverse (211101001122), we get a palindrome (432201102234).

It can be divided in two parts, 22110010 and 1112, that added together give a palindrome (22111122).

The spelling of 221100101112 in words is "two hundred twenty-one billion, one hundred million, one hundred one thousand, one hundred twelve".