100001201122201 has 16 divisors (see below), whose sum is σ = 100924887435984. Its totient is φ = 99081806413824.

The previous prime is 100001201122177. The next prime is 100001201122237. The reversal of 100001201122201 is 102221102100001.

It can be written as a sum of positive squares in 8 ways, for example, as 30828312905625 + 69172888216576 = 5552325^2 + 8317024^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001201122201 - 2¹⁷ = 100001200991129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001201122241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355845921 + ... + 356126833.

It is an arithmetic number, because the mean of its divisors is an integer number (6307805464749).

Almost surely, 2^{100001201122201} is an apocalyptic number.

It is an amenable number.

100001201122201 is a deficient number, since it is larger than the sum of its proper divisors (923686313783).

100001201122201 is a wasteful number, since it uses less digits than its factorization.

100001201122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288540.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100001201122201 its reverse (102221102100001), we get a palindrome (202222303222202).

The spelling of 100001201122201 in words is "one hundred trillion, one billion, two hundred one million, one hundred twenty-two thousand, two hundred one".