102221112010112 has 128 divisors (see below), whose sum is σ = 217906594156800. Its totient is φ = 47620023552000.

The previous prime is 102221112010081. The next prime is 102221112010133. The reversal of 102221112010112 is 211010211122201.

102221112010112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1140930437 + ... + 1141020027.

It is an arithmetic number, because the mean of its divisors is an integer number (1702395266850).

Almost surely, 2^{102221112010112} 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 102221112010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108953297078400).

102221112010112 is an abundant number, since it is smaller than the sum of its proper divisors (115685482146688).

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

102221112010112 is an equidigital number, since it uses as much as digits as its factorization.

102221112010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97376 (or 97364 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 102221112010112 its reverse (211010211122201), we get a palindrome (313231323132313).

The spelling of 102221112010112 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred twelve million, ten thousand, one hundred twelve".