10022221100112 has 160 divisors (see below), whose sum is σ = 28060654003200. Its totient is φ = 3064093741056.

The previous prime is 10022221100011. The next prime is 10022221100123. The reversal of 10022221100112 is 21100112222001.

It is a junction number, because it is equal to n+sod(n) for n = 10022221100091 and 10022221100100.

It is a congruent number.

It is an unprimeable number.

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, 69570814 + ... + 69714722.

It is an arithmetic number, because the mean of its divisors is an integer number (175379087520).

Almost surely, 2^{10022221100112} is an apocalyptic number.

10022221100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022221100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14030327001600).

10022221100112 is an abundant number, since it is smaller than the sum of its proper divisors (18038432903088).

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

10022221100112 is a wasteful number, since it uses less digits than its factorization.

10022221100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144645 (or 144639 counting only the distinct ones).

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

Adding to 10022221100112 its reverse (21100112222001), we get a palindrome (31122333322113).

The spelling of 10022221100112 in words is "ten trillion, twenty-two billion, two hundred twenty-one million, one hundred thousand, one hundred twelve".