101320202110221 has 12 divisors (see below), whose sum is σ = 146557822525660. Its totient is φ = 67451530878720.

The previous prime is 101320202110199. The next prime is 101320202110271. The reversal of 101320202110221 is 122011202023101.

101320202110221 is a `hidden beast` number, since 1 + 0 + 132 + 0 + 202 + 110 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24691100132196 + 76629101978025 = 4969014^2 + 8753805^2 .

It is not a de Polignac number, because 101320202110221 - 2⁶ = 101320202110157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101320202110194 and 101320202110203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101320202110271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7939203940 + ... + 7939216701.

Almost surely, 2^{101320202110221} is an apocalyptic number.

It is an amenable number.

101320202110221 is a deficient number, since it is larger than the sum of its proper divisors (45237620415439).

101320202110221 is a wasteful number, since it uses less digits than its factorization.

101320202110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15878421356 (or 15878421353 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101320202110221 its reverse (122011202023101), we get a palindrome (223331404133322).

The spelling of 101320202110221 in words is "one hundred one trillion, three hundred twenty billion, two hundred two million, one hundred ten thousand, two hundred twenty-one".