101221103321223 has 16 divisors (see below), whose sum is σ = 135690279984000. Its totient is φ = 67117089492000.

The previous prime is 101221103321213. The next prime is 101221103321251. The reversal of 101221103321223 is 322123301122101.

It is not a de Polignac number, because 101221103321223 - 2⁴ = 101221103321207 is a prime.

It is a super-2 number, since 2×101221103321223² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101221103321193 and 101221103321202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221103321213) 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 15 ways as a sum of consecutive naturals, for example, 94264273 + ... + 95332026.

It is an arithmetic number, because the mean of its divisors is an integer number (8480642499000).

Almost surely, 2^{101221103321223} is an apocalyptic number.

101221103321223 is a deficient number, since it is larger than the sum of its proper divisors (34469176662777).

101221103321223 is a wasteful number, since it uses less digits than its factorization.

101221103321223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189597262.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 101221103321223 its reverse (322123301122101), we get a palindrome (423344404443324).

The spelling of 101221103321223 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred three million, three hundred twenty-one thousand, two hundred twenty-three".