221311100101 has 16 divisors (see below), whose sum is σ = 275190974464. Its totient is φ = 173298092544.

The previous prime is 221311100093. The next prime is 221311100147. The reversal of 221311100101 is 101001113122.

It is a happy number.

221311100101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 221311100101 - 2³ = 221311100093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221311100701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12527205 + ... + 12544858.

It is an arithmetic number, because the mean of its divisors is an integer number (17199435904).

Almost surely, 2^221311100101 is an apocalyptic number.

It is an amenable number.

221311100101 is a deficient number, since it is larger than the sum of its proper divisors (53879874363).

221311100101 is a wasteful number, since it uses less digits than its factorization.

221311100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25072180.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 221311100101 its reverse (101001113122), we get a palindrome (322312213223).

The spelling of 221311100101 in words is "two hundred twenty-one billion, three hundred eleven million, one hundred thousand, one hundred one".