10202112 has 132 divisors (see below), whose sum is σ = 31294536. Its totient is φ = 3317760.

The previous prime is 10202099. The next prime is 10202117. The reversal of 10202112 is 21120201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10202094 and 10202103.

It is not an unprimeable number, because it can be changed into a prime (10202117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248812 + ... + 248852.

Almost surely, 2^10202112 is an apocalyptic number.

10202112 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 10202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15647268).

10202112 is an abundant number, since it is smaller than the sum of its proper divisors (21092424).

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

10202112 is an frugal number, since it uses more digits than its factorization.

10202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10202112 is about 3194.0745138459. The cubic root of 10202112 is about 216.8852557943.

Adding to 10202112 its reverse (21120201), we get a palindrome (31322313).

The spelling of 10202112 in words is "ten million, two hundred two thousand, one hundred twelve".