10100221110112 has 192 divisors, whose sum is σ = 24376524963840. Its totient is φ = 4020876288000.

The previous prime is 10100221110073. The next prime is 10100221110121. The reversal of 10100221110112 is 21101112200101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10100221110092 and 10100221110101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1020116362 + ... + 1020126262.

It is an arithmetic number, because the mean of its divisors is an integer number (126961067520).

Almost surely, 2^{10100221110112} 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 10100221110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12188262481920).

10100221110112 is an abundant number, since it is smaller than the sum of its proper divisors (14276303853728).

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

10100221110112 is a wasteful number, since it uses less digits than its factorization.

10100221110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13405 (or 13397 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10100221110112 its reverse (21101112200101), we get a palindrome (31201333310213).

The spelling of 10100221110112 in words is "ten trillion, one hundred billion, two hundred twenty-one million, one hundred ten thousand, one hundred twelve".