21312120101 has 2 divisors, whose sum is σ = 21312120102. Its totient is φ = 21312120100.

The previous prime is 21312120077. The next prime is 21312120113. The reversal of 21312120101 is 10102121312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14193148225 + 7118971876 = 119135^2 + 84374^2 .

It is a cyclic number.

It is not a de Polignac number, because 21312120101 - 2²² = 21307925797 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21312123101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10656060050 + 10656060051.

It is an arithmetic number, because the mean of its divisors is an integer number (10656060051).

Almost surely, 2^21312120101 is an apocalyptic number.

It is an amenable number.

21312120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21312120101 is an equidigital number, since it uses as much as digits as its factorization.

21312120101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 21312120101 its reverse (10102121312), we get a palindrome (31414241413).

The spelling of 21312120101 in words is "twenty-one billion, three hundred twelve million, one hundred twenty thousand, one hundred one".