201100002221001 has 64 divisors (see below), whose sum is σ = 311129027548416. Its totient is φ = 114440681472000.

The previous prime is 201100002220939. The next prime is 201100002221011. The reversal of 201100002221001 is 100122200001102.

It is not a de Polignac number, because 201100002221001 - 2¹⁸ = 201100001958857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201100002221011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2690256 + ... + 20234561.

It is an arithmetic number, because the mean of its divisors is an integer number (4861391055444).

Almost surely, 2^{201100002221001} is an apocalyptic number.

It is an amenable number.

201100002221001 is a deficient number, since it is larger than the sum of its proper divisors (110029025327415).

201100002221001 is a wasteful number, since it uses less digits than its factorization.

201100002221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22925082.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201100002221001 its reverse (100122200001102), we get a palindrome (301222202222103).

The spelling of 201100002221001 in words is "two hundred one trillion, one hundred billion, two million, two hundred twenty-one thousand, one".