102122321 has 24 divisors (see below), whose sum is σ = 125856000. Its totient is φ = 82391904.

The previous prime is 102122303. The next prime is 102122341. The reversal of 102122321 is 123221201.

It is a happy number.

It is not a de Polignac number, because 102122321 - 2¹⁴ = 102105937 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102122296 and 102122305.

It is not an unprimeable number, because it can be changed into a prime (102122341) 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 23 ways as a sum of consecutive naturals, for example, 212960 + ... + 213438.

It is an arithmetic number, because the mean of its divisors is an integer number (5244000).

Almost surely, 2^102122321 is an apocalyptic number.

It is an amenable number.

102122321 is a deficient number, since it is larger than the sum of its proper divisors (23733679).

102122321 is a wasteful number, since it uses less digits than its factorization.

102122321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 102122321 is about 10105.5589157651. The cubic root of 102122321 is about 467.4195707481.

Adding to 102122321 its reverse (123221201), we get a palindrome (225343522).

The spelling of 102122321 in words is "one hundred two million, one hundred twenty-two thousand, three hundred twenty-one".