212131300101 has 16 divisors (see below), whose sum is σ = 323265195648. Its totient is φ = 121211323200.

The previous prime is 212131300061. The next prime is 212131300103. The reversal of 212131300101 is 101003131212.

It is a happy number.

It is not a de Polignac number, because 212131300101 - 2²¹ = 212129202949 is a prime.

It is a super-2 number, since 2×212131300101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212131300103) 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 15 ways as a sum of consecutive naturals, for example, 138091 + ... + 665831.

It is an arithmetic number, because the mean of its divisors is an integer number (20204074728).

Almost surely, 2^212131300101 is an apocalyptic number.

212131300101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212131300101 is a deficient number, since it is larger than the sum of its proper divisors (111133895547).

212131300101 is a wasteful number, since it uses less digits than its factorization.

212131300101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546892.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 212131300101 its reverse (101003131212), we get a palindrome (313134431313).

The spelling of 212131300101 in words is "two hundred twelve billion, one hundred thirty-one million, three hundred thousand, one hundred one".