10220003112 has 128 divisors (see below), whose sum is σ = 28382976000. Its totient is φ = 3040727040.

The previous prime is 10220003111. The next prime is 10220003147. The reversal of 10220003112 is 21130002201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10220003111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4023939 + ... + 4026477.

It is an arithmetic number, because the mean of its divisors is an integer number (221742000).

Almost surely, 2^10220003112 is an apocalyptic number.

10220003112 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 10220003112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14191488000).

10220003112 is an abundant number, since it is smaller than the sum of its proper divisors (18162972888).

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

10220003112 is a wasteful number, since it uses less digits than its factorization.

10220003112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10220003112 its reverse (21130002201), we get a palindrome (31350005313).

The spelling of 10220003112 in words is "ten billion, two hundred twenty million, three thousand, one hundred twelve".