10220011121112 has 128 divisors (see below), whose sum is σ = 28009057305600. Its totient is φ = 3088563028992.

The previous prime is 10220011121087. The next prime is 10220011121113. The reversal of 10220011121112 is 21112111002201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10220011121091 and 10220011121100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220011121113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4504723 + ... + 6382205.

It is an arithmetic number, because the mean of its divisors is an integer number (218820760200).

Almost surely, 2^{10220011121112} is an apocalyptic number.

10220011121112 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 10220011121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14004528652800).

10220011121112 is an abundant number, since it is smaller than the sum of its proper divisors (17789046184488).

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

10220011121112 is a wasteful number, since it uses less digits than its factorization.

10220011121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877817 (or 1877813 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10220011121112 its reverse (21112111002201), we get a palindrome (31332122123313).

The spelling of 10220011121112 in words is "ten trillion, two hundred twenty billion, eleven million, one hundred twenty-one thousand, one hundred twelve".