102270121209 has 15 divisors (see below), whose sum is σ = 152778184383. Its totient is φ = 68178162024.

The previous prime is 102270121201. The next prime is 102270121249. The reversal of 102270121209 is 902121072201.

The square root of 102270121209 is 319797.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4783797225 + 97486323984 = 69165^2 + 312228^2 .

It is not a de Polignac number, because 102270121209 - 2³ = 102270121201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102270121201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2860407 + ... + 2895939.

Almost surely, 2^102270121209 is an apocalyptic number.

102270121209 is the 319797-th square number.

102270121209 is the 159899-th centered octagonal number.

It is an amenable number.

102270121209 is a deficient number, since it is larger than the sum of its proper divisors (50508063174).

102270121209 is an frugal number, since it uses more digits than its factorization.

102270121209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71078 (or 35536 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 102270121209 in words is "one hundred two billion, two hundred seventy million, one hundred twenty-one thousand, two hundred nine".