101110102021213 has 2 divisors, whose sum is σ = 101110102021214. Its totient is φ = 101110102021212.

The previous prime is 101110102021211. The next prime is 101110102021273. The reversal of 101110102021213 is 312120201011101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100578875325604 + 531226695609 = 10028902^2 + 728853^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110102021213 - 2¹ = 101110102021211 is a prime.

Together with 101110102021211, 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 (101110102021211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555051010606 + 50555051010607.

It is an arithmetic number, because the mean of its divisors is an integer number (50555051010607).

Almost surely, 2^{101110102021213} is an apocalyptic number.

It is an amenable number.

101110102021213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110102021213 is an equidigital number, since it uses as much as digits as its factorization.

101110102021213 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 16.

Adding to 101110102021213 its reverse (312120201011101), we get a palindrome (413230303032314).

The spelling of 101110102021213 in words is "one hundred one trillion, one hundred ten billion, one hundred two million, twenty-one thousand, two hundred thirteen".