10302200112 has 80 divisors (see below), whose sum is σ = 27794649600. Its totient is φ = 3281980416.

The previous prime is 10302200071. The next prime is 10302200143. The reversal of 10302200112 is 21100220301.

It is a super-2 number, since 2×10302200112² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1594264 + ... + 1600712.

It is an arithmetic number, because the mean of its divisors is an integer number (347433120).

Almost surely, 2^10302200112 is an apocalyptic number.

10302200112 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 10302200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13897324800).

10302200112 is an abundant number, since it is smaller than the sum of its proper divisors (17492449488).

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

10302200112 is a wasteful number, since it uses less digits than its factorization.

10302200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7930 (or 7924 counting only the distinct ones).

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

Adding to 10302200112 its reverse (21100220301), we get a palindrome (31402420413).

The spelling of 10302200112 in words is "ten billion, three hundred two million, two hundred thousand, one hundred twelve".