10820121 has 16 divisors (see below), whose sum is σ = 15597120. Its totient is φ = 6632640.

The previous prime is 10820113. The next prime is 10820137. The reversal of 10820121 is 12102801.

It is not a de Polignac number, because 10820121 - 2³ = 10820113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10820121.

It is not an unprimeable number, because it can be changed into a prime (10820111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16090 + ... + 16748.

It is an arithmetic number, because the mean of its divisors is an integer number (974820).

Almost surely, 2^10820121 is an apocalyptic number.

It is an amenable number.

10820121 is a deficient number, since it is larger than the sum of its proper divisors (4776999).

10820121 is a wasteful number, since it uses less digits than its factorization.

10820121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096.

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 10820121 is about 3289.3952331698. The cubic root of 10820121 is about 221.1790758657.

Adding to 10820121 its reverse (12102801), we get a palindrome (22922922).

The spelling of 10820121 in words is "ten million, eight hundred twenty thousand, one hundred twenty-one".