221122102010112 has 576 divisors, whose sum is σ = 669405568608000. Its totient is φ = 72883921969152.

The previous prime is 221122102009979. The next prime is 221122102010119. The reversal of 221122102010112 is 211010201221122.

221122102010112 is a `hidden beast` number, since 221 + 122 + 10 + 201 + 0 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (221122102010119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18936544818 + ... + 18936556494.

It is an arithmetic number, because the mean of its divisors is an integer number (1162162445500).

Almost surely, 2^{221122102010112} 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 221122102010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334702784304000).

221122102010112 is an abundant number, since it is smaller than the sum of its proper divisors (448283466597888).

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

221122102010112 is an equidigital number, since it uses as much as digits as its factorization.

221122102010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12090 (or 12058 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221122102010112 its reverse (211010201221122), we get a palindrome (432132303231234).

The spelling of 221122102010112 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, one hundred two million, ten thousand, one hundred twelve".