101113112030221 has 2 divisors, whose sum is σ = 101113112030222. Its totient is φ = 101113112030220.

The previous prime is 101113112030111. The next prime is 101113112030233. The reversal of 101113112030221 is 122030211311101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100852107525225 + 261004504996 = 10042515^2 + 510886^2 .

It is a cyclic number.

It is not a de Polignac number, because 101113112030221 - 2²⁵ = 101113078475789 is a prime.

It is a super-2 number, since 2×101113112030221² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101113112030321) 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, 50556556015110 + 50556556015111.

It is an arithmetic number, because the mean of its divisors is an integer number (50556556015111).

Almost surely, 2^{101113112030221} is an apocalyptic number.

It is an amenable number.

101113112030221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101113112030221 is an equidigital number, since it uses as much as digits as its factorization.

101113112030221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 101113112030221 its reverse (122030211311101), we get a palindrome (223143323341322).

The spelling of 101113112030221 in words is "one hundred one trillion, one hundred thirteen billion, one hundred twelve million, thirty thousand, two hundred twenty-one".