212102000101 has 2 divisors, whose sum is σ = 212102000102. Its totient is φ = 212102000100.

The previous prime is 212102000069. The next prime is 212102000107. The reversal of 212102000101 is 101000201212.

212102000101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132506920225 + 79595079876 = 364015^2 + 282126^2 .

It is a cyclic number.

It is not a de Polignac number, because 212102000101 - 2⁵ = 212102000069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212102000107) 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, 106051000050 + 106051000051.

It is an arithmetic number, because the mean of its divisors is an integer number (106051000051).

Almost surely, 2^212102000101 is an apocalyptic number.

It is an amenable number.

212102000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212102000101 is an equidigital number, since it uses as much as digits as its factorization.

212102000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212102000101 its reverse (101000201212), we get a palindrome (313102201313).

The spelling of 212102000101 in words is "two hundred twelve billion, one hundred two million, one hundred one", and thus it is an aban number.