100221221122001 has 16 divisors (see below), whose sum is σ = 121289244448896. Its totient is φ = 80841969712896.

The previous prime is 100221221121949. The next prime is 100221221122031. The reversal of 100221221122001 is 100221122122001.

It is not a de Polignac number, because 100221221122001 - 2²⁶ = 100221154013137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100221221122031) 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, 44539526 + ... + 46735551.

It is an arithmetic number, because the mean of its divisors is an integer number (7580577778056).

Almost surely, 2^{100221221122001} is an apocalyptic number.

It is an amenable number.

100221221122001 is a deficient number, since it is larger than the sum of its proper divisors (21068023326895).

100221221122001 is an equidigital number, since it uses as much as digits as its factorization.

100221221122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91284328.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100221221122001 its reverse (100221122122001), we get a palindrome (200442343244002).

The spelling of 100221221122001 in words is "one hundred trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-two thousand, one".