212332101001 has 2 divisors, whose sum is σ = 212332101002. Its totient is φ = 212332101000.

The previous prime is 212332100999. The next prime is 212332101049. The reversal of 212332101001 is 100101233212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 161562998601 + 50769102400 = 401949^2 + 225320^2 .

It is a cyclic number.

It is not a de Polignac number, because 212332101001 - 2¹ = 212332100999 is a prime.

It is a super-2 number, since 2×212332101001² (a number of 23 digits) contains 22 as substring.

Together with 212332100999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (212332101901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106166050500 + 106166050501.

It is an arithmetic number, because the mean of its divisors is an integer number (106166050501).

Almost surely, 2^212332101001 is an apocalyptic number.

It is an amenable number.

212332101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212332101001 is an equidigital number, since it uses as much as digits as its factorization.

212332101001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 212332101001 its reverse (100101233212), we get a palindrome (312433334213).

The spelling of 212332101001 in words is "two hundred twelve billion, three hundred thirty-two million, one hundred one thousand, one".