10222112220112 has 80 divisors (see below), whose sum is σ = 22296864159360. Its totient is φ = 4504520756736.

The previous prime is 10222112220101. The next prime is 10222112220119. The reversal of 10222112220112 is 21102221122201.

It is a super-3 number, since 3×10222112220112³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10222112220112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222112220119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663714 + ... + 4569982.

It is an arithmetic number, because the mean of its divisors is an integer number (278710801992).

Almost surely, 2^{10222112220112} 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 10222112220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11148432079680).

10222112220112 is an abundant number, since it is smaller than the sum of its proper divisors (12074751939248).

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

10222112220112 is a wasteful number, since it uses less digits than its factorization.

10222112220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3906860 (or 3906854 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 10222112220112 its reverse (21102221122201), we get a palindrome (31324333342313).

The spelling of 10222112220112 in words is "ten trillion, two hundred twenty-two billion, one hundred twelve million, two hundred twenty thousand, one hundred twelve".