10362121 has 16 divisors (see below), whose sum is σ = 13483008. Its totient is φ = 7722000.

The previous prime is 10362119. The next prime is 10362127. The reversal of 10362121 is 12126301.

It is not a de Polignac number, because 10362121 - 2¹ = 10362119 is a prime.

It is a super-3 number, since 3×10362121³ (a number of 22 digits) contains 333 as substring.

10362121 is a modest number, since divided by 2121 gives 1036 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10362095 and 10362104.

It is not an unprimeable number, because it can be changed into a prime (10362127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1155 + ... + 4696.

It is an arithmetic number, because the mean of its divisors is an integer number (842688).

Almost surely, 2^10362121 is an apocalyptic number.

10362121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10362121 is a deficient number, since it is larger than the sum of its proper divisors (3120887).

10362121 is a wasteful number, since it uses less digits than its factorization.

10362121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5892.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 10362121 is about 3219.0248523427. The cubic root of 10362121 is about 218.0132486407.

Adding to 10362121 its reverse (12126301), we get a palindrome (22488422).

The spelling of 10362121 in words is "ten million, three hundred sixty-two thousand, one hundred twenty-one".