10223313201112 has 128 divisors (see below), whose sum is σ = 22059928800000. Its totient is φ = 4392793036800.

The previous prime is 10223313201109. The next prime is 10223313201113. The reversal of 10223313201112 is 21110231332201.

It is a super-2 number, since 2×10223313201112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223313201113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1747870764 + ... + 1747876612.

It is an arithmetic number, because the mean of its divisors is an integer number (172343193750).

Almost surely, 2^{10223313201112} 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 10223313201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11029964400000).

10223313201112 is an abundant number, since it is smaller than the sum of its proper divisors (11836615598888).

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

10223313201112 is a wasteful number, since it uses less digits than its factorization.

10223313201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7985 (or 7981 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 10223313201112 its reverse (21110231332201), we get a palindrome (31333544533313).

The spelling of 10223313201112 in words is "ten trillion, two hundred twenty-three billion, three hundred thirteen million, two hundred one thousand, one hundred twelve".