101013320000221 has 4 divisors (see below), whose sum is σ = 106955280000252. Its totient is φ = 95071360000192.

The previous prime is 101013320000129. The next prime is 101013320000297. The reversal of 101013320000221 is 122000023310101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 30912654807225 + 70100665192996 = 5559915^2 + 8372614^2 .

It is a cyclic number.

It is not a de Polignac number, because 101013320000221 - 2²⁷ = 101013185782493 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101013320000195 and 101013320000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101013320600221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2970979999990 + ... + 2970980000023.

It is an arithmetic number, because the mean of its divisors is an integer number (26738820000063).

Almost surely, 2^{101013320000221} is an apocalyptic number.

It is an amenable number.

101013320000221 is a deficient number, since it is larger than the sum of its proper divisors (5941960000031).

101013320000221 is an equidigital number, since it uses as much as digits as its factorization.

101013320000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5941960000030.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101013320000221 its reverse (122000023310101), we get a palindrome (223013343310322).

The spelling of 101013320000221 in words is "one hundred one trillion, thirteen billion, three hundred twenty million, two hundred twenty-one", and thus it is an aban number.