100221122101101 has 4 divisors (see below), whose sum is σ = 133628162801472. Its totient is φ = 66814081400732.

The previous prime is 100221122101063. The next prime is 100221122101129. The reversal of 100221122101101 is 101101221122001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100221122101101 - 2¹⁷ = 100221121970029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221122101601) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16703520350181 + ... + 16703520350186.

It is an arithmetic number, because the mean of its divisors is an integer number (33407040700368).

Almost surely, 2^{100221122101101} is an apocalyptic number.

It is an amenable number.

100221122101101 is a deficient number, since it is larger than the sum of its proper divisors (33407040700371).

100221122101101 is an equidigital number, since it uses as much as digits as its factorization.

100221122101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33407040700370.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100221122101101 its reverse (101101221122001), we get a palindrome (201322343223102).

The spelling of 100221122101101 in words is "one hundred trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred one thousand, one hundred one".