101221010113 has 2 divisors, whose sum is σ = 101221010114. Its totient is φ = 101221010112.

The previous prime is 101221010101. The next prime is 101221010147. The reversal of 101221010113 is 311010122101.

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., 100217831184 + 1003178929 = 316572^2 + 31673^2 .

It is a cyclic number.

It is not a de Polignac number, because 101221010113 - 2⁹ = 101221009601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101221010093 and 101221010102.

It is not a weakly prime, because it can be changed into another prime (101221010713) 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, 50610505056 + 50610505057.

It is an arithmetic number, because the mean of its divisors is an integer number (50610505057).

Almost surely, 2^101221010113 is an apocalyptic number.

It is an amenable number.

101221010113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221010113 is an equidigital number, since it uses as much as digits as its factorization.

101221010113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101221010113 its reverse (311010122101), we get a palindrome (412231132214).

The spelling of 101221010113 in words is "one hundred one billion, two hundred twenty-one million, ten thousand, one hundred thirteen".