10121166 has 48 divisors (see below), whose sum is σ = 24738000. Its totient is φ = 3065040.

The previous prime is 10121161. The next prime is 10121183. The reversal of 10121166 is 66112101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5760 + ... + 7308.

It is an arithmetic number, because the mean of its divisors is an integer number (515375).

Almost surely, 2^10121166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12369000).

10121166 is an abundant number, since it is smaller than the sum of its proper divisors (14616834).

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

10121166 is a wasteful number, since it uses less digits than its factorization.

10121166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 10121166 is about 3181.3780033187. The cubic root of 10121166 is about 216.3101255068.

Adding to 10121166 its reverse (66112101), we get a palindrome (76233267).

The spelling of 10121166 in words is "ten million, one hundred twenty-one thousand, one hundred sixty-six".