212213132101 has 2 divisors, whose sum is σ = 212213132102. Its totient is φ = 212213132100.

The previous prime is 212213132099. The next prime is 212213132143. The reversal of 212213132101 is 101231312212.

212213132101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 171024429601 + 41188702500 = 413551^2 + 202950^2 .

It is a cyclic number.

It is not a de Polignac number, because 212213132101 - 2¹ = 212213132099 is a prime.

It is a super-2 number, since 2×212213132101² (a number of 23 digits) contains 22 as substring.

Together with 212213132099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212213132801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106106566050 + 106106566051.

It is an arithmetic number, because the mean of its divisors is an integer number (106106566051).

Almost surely, 2^212213132101 is an apocalyptic number.

It is an amenable number.

212213132101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212213132101 is an equidigital number, since it uses as much as digits as its factorization.

212213132101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 212213132101 its reverse (101231312212), we get a palindrome (313444444313).

The spelling of 212213132101 in words is "two hundred twelve billion, two hundred thirteen million, one hundred thirty-two thousand, one hundred one".