101221201100223 has 6 divisors (see below), whose sum is σ = 146208401589224. Its totient is φ = 67480800733476.

The previous prime is 101221201100081. The next prime is 101221201100353. The reversal of 101221201100223 is 322001102122101.

101221201100223 is a `hidden beast` number, since 10 + 1 + 221 + 201 + 10 + 0 + 223 = 666.

It is not a de Polignac number, because 101221201100223 - 2¹⁰ = 101221201099199 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101221201100196 and 101221201100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221201140223) 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 5 ways as a sum of consecutive naturals, for example, 5623400061115 + ... + 5623400061132.

Almost surely, 2^{101221201100223} is an apocalyptic number.

101221201100223 is a deficient number, since it is larger than the sum of its proper divisors (44987200489001).

101221201100223 is a wasteful number, since it uses less digits than its factorization.

101221201100223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11246800122253 (or 11246800122250 counting only the distinct ones).

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

Adding to 101221201100223 its reverse (322001102122101), we get a palindrome (423222303222324).

The spelling of 101221201100223 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred one million, one hundred thousand, two hundred twenty-three".