212101013132309 has 12 divisors (see below), whose sum is σ = 247807172472300. Its totient is φ = 181006978134528.

The previous prime is 212101013132297. The next prime is 212101013132311. The reversal of 212101013132309 is 903231310101212.

It can be written as a sum of positive squares in 2 ways, for example, as 137860990582084 + 74240022550225 = 11741422^2 + 8616265^2 .

It is not a de Polignac number, because 212101013132309 - 2²⁰ = 212101012083733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101013132339) 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 11 ways as a sum of consecutive naturals, for example, 9451063244 + ... + 9451085685.

It is an arithmetic number, because the mean of its divisors is an integer number (20650597706025).

Almost surely, 2^{212101013132309} is an apocalyptic number.

It is an amenable number.

212101013132309 is a deficient number, since it is larger than the sum of its proper divisors (35706159339991).

212101013132309 is a wasteful number, since it uses less digits than its factorization.

212101013132309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18902149172 (or 18902149165 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 212101013132309 in words is "two hundred twelve trillion, one hundred one billion, thirteen million, one hundred thirty-two thousand, three hundred nine".