100221102210101 has 4 divisors (see below), whose sum is σ = 103454040991104. Its totient is φ = 96988163429100.

The previous prime is 100221102210083. The next prime is 100221102210109. The reversal of 100221102210101 is 101012201122001.

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 100221102210101 - 2²⁶ = 100221035101237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221102210109) 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 3 ways as a sum of consecutive naturals, for example, 1616469390455 + ... + 1616469390516.

It is an arithmetic number, because the mean of its divisors is an integer number (25863510247776).

Almost surely, 2^{100221102210101} is an apocalyptic number.

It is an amenable number.

100221102210101 is a deficient number, since it is larger than the sum of its proper divisors (3232938781003).

100221102210101 is an equidigital number, since it uses as much as digits as its factorization.

100221102210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232938781002.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100221102210101 its reverse (101012201122001), we get a palindrome (201233303332102).

The spelling of 100221102210101 in words is "one hundred trillion, two hundred twenty-one billion, one hundred two million, two hundred ten thousand, one hundred one".