221111102120112 has 180 divisors, whose sum is σ = 636026911359840. Its totient is φ = 71706467897856.

The previous prime is 221111102120107. The next prime is 221111102120141. The reversal of 221111102120112 is 211021201111122.

It is a happy number.

221111102120112 is a `hidden beast` number, since 221 + 11 + 110 + 212 + 0 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3422051518 + ... + 3422116130.

It is an arithmetic number, because the mean of its divisors is an integer number (3533482840888).

Almost surely, 2^{221111102120112} 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 221111102120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318013455679920).

221111102120112 is an abundant number, since it is smaller than the sum of its proper divisors (414915809239728).

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

221111102120112 is a wasteful number, since it uses less digits than its factorization.

221111102120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82060 (or 82014 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 221111102120112 its reverse (211021201111122), we get a palindrome (432132303231234).

The spelling of 221111102120112 in words is "two hundred twenty-one trillion, one hundred eleven billion, one hundred two million, one hundred twenty thousand, one hundred twelve".