21000101102213 has 2 divisors, whose sum is σ = 21000101102214. Its totient is φ = 21000101102212.

The previous prime is 21000101102177. The next prime is 21000101102237. The reversal of 21000101102213 is 31220110100012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17442041318689 + 3558059783524 = 4176367^2 + 1886282^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21000101102213 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 (21000101102413) 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, 10500050551106 + 10500050551107.

It is an arithmetic number, because the mean of its divisors is an integer number (10500050551107).

Almost surely, 2^{21000101102213} is an apocalyptic number.

It is an amenable number.

21000101102213 is a deficient number, since it is larger than the sum of its proper divisors (1).

21000101102213 is an equidigital number, since it uses as much as digits as its factorization.

21000101102213 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 21000101102213 its reverse (31220110100012), we get a palindrome (52220211202225).

The spelling of 21000101102213 in words is "twenty-one trillion, one hundred one million, one hundred two thousand, two hundred thirteen".