102122109 has 24 divisors (see below), whose sum is σ = 153608312. Its totient is φ = 65318400.

The previous prime is 102122099. The next prime is 102122123. The reversal of 102122109 is 901221201.

It can be written as a sum of positive squares in 4 ways, for example, as 14175225 + 87946884 = 3765^2 + 9378^2 .

It is not a de Polignac number, because 102122109 - 2⁸ = 102121853 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102122091 and 102122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122609) 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 23 ways as a sum of consecutive naturals, for example, 22209 + ... + 26409.

Almost surely, 2^102122109 is an apocalyptic number.

102122109 is the 5402-nd nonagonal number.

It is an amenable number.

102122109 is a deficient number, since it is larger than the sum of its proper divisors (51486203).

102122109 is a wasteful number, since it uses less digits than its factorization.

102122109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4317 (or 4314 counting only the distinct ones).

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

The square root of 102122109 is about 10105.5484264833. The cubic root of 102122109 is about 467.4192473026.

It can be divided in two parts, 10212 and 2109, that added together give a palindrome (12321).

The spelling of 102122109 in words is "one hundred two million, one hundred twenty-two thousand, one hundred nine".