10022129 has 16 divisors (see below), whose sum is σ = 11566800. Its totient is φ = 8601600.

The previous prime is 10022123. The next prime is 10022143. The reversal of 10022129 is 92122001.

It can be written as a sum of positive squares in 8 ways, for example, as 883600 + 9138529 = 940^2 + 3023^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022129 - 2⁴ = 10022113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (10022123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22097 + ... + 22545.

It is an arithmetic number, because the mean of its divisors is an integer number (722925).

Almost surely, 2^10022129 is an apocalyptic number.

It is an amenable number.

10022129 is a deficient number, since it is larger than the sum of its proper divisors (1544671).

10022129 is a wasteful number, since it uses less digits than its factorization.

10022129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 10022129 is about 3165.7746287441. The cubic root of 10022129 is about 215.6022702079.

The spelling of 10022129 in words is "ten million, twenty-two thousand, one hundred twenty-nine".