101113122203221 has 8 divisors (see below), whose sum is σ = 101385103163960. Its totient is φ = 100841146057152.

The previous prime is 101113122203173. The next prime is 101113122203243. The reversal of 101113122203221 is 122302221311101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 875180831121 + 100237941372100 = 935511^2 + 10011890^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101113122203221 - 2⁴¹ = 98914098947669 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101113122203192 and 101113122203201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101113122203021) 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 in 7 ways as a sum of consecutive naturals, for example, 43038715 + ... + 45327223.

It is an arithmetic number, because the mean of its divisors is an integer number (12673137895495).

Almost surely, 2^{101113122203221} is an apocalyptic number.

It is an amenable number.

101113122203221 is a deficient number, since it is larger than the sum of its proper divisors (271980960739).

101113122203221 is a wasteful number, since it uses less digits than its factorization.

101113122203221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407335.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 101113122203221 its reverse (122302221311101), we get a palindrome (223415343514322).

The spelling of 101113122203221 in words is "one hundred one trillion, one hundred thirteen billion, one hundred twenty-two million, two hundred three thousand, two hundred twenty-one".