101221002002223 has 48 divisors (see below), whose sum is σ = 152837455024800. Its totient is φ = 64470073651200.

The previous prime is 101221002002161. The next prime is 101221002002251. The reversal of 101221002002223 is 322200200122101.

It is not a de Polignac number, because 101221002002223 - 2¹⁴ = 101221001985839 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101221002002196 and 101221002002205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221002002423) 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 47 ways as a sum of consecutive naturals, for example, 136823923 + ... + 137561723.

It is an arithmetic number, because the mean of its divisors is an integer number (3184113646350).

Almost surely, 2^{101221002002223} is an apocalyptic number.

101221002002223 is a deficient number, since it is larger than the sum of its proper divisors (51616453022577).

101221002002223 is a wasteful number, since it uses less digits than its factorization.

101221002002223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743352 (or 743349 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101221002002223 its reverse (322200200122101), we get a palindrome (423421202124324).

The spelling of 101221002002223 in words is "one hundred one trillion, two hundred twenty-one billion, two million, two thousand, two hundred twenty-three".