222201010010112 has 768 divisors, whose sum is σ = 699690998522880. Its totient is φ = 61383040303104.

The previous prime is 222201010009991. The next prime is 222201010010153. The reversal of 222201010010112 is 211010010102222.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 222201010010091 and 222201010010100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 260493563478 + ... + 260493564330.

It is an arithmetic number, because the mean of its divisors is an integer number (911055987660).

Almost surely, 2^{222201010010112} 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 222201010010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349845499261440).

222201010010112 is an abundant number, since it is smaller than the sum of its proper divisors (477489988512768).

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

222201010010112 is a wasteful number, since it uses less digits than its factorization.

222201010010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 222201010010112 its reverse (211010010102222), we get a palindrome (433211020112334).

The spelling of 222201010010112 in words is "two hundred twenty-two trillion, two hundred one billion, ten million, ten thousand, one hundred twelve".