2201201101001 has 12 divisors (see below), whose sum is σ = 2568761660052. Its totient is φ = 1880715852288.

The previous prime is 2201201100961. The next prime is 2201201101027. The reversal of 2201201101001 is 1001011021022.

It can be written as a sum of positive squares in 2 ways, for example, as 107175045376 + 2094026055625 = 327376^2 + 1447075^2 .

It is not a de Polignac number, because 2201201101001 - 2¹⁸ = 2201200838857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2201201101301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71745800 + ... + 71776473.

It is an arithmetic number, because the mean of its divisors is an integer number (214063471671).

Almost surely, 2^{2201201101001} is an apocalyptic number.

It is an amenable number.

2201201101001 is a deficient number, since it is larger than the sum of its proper divisors (367560559051).

2201201101001 is a wasteful number, since it uses less digits than its factorization.

2201201101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143522600 (or 143522593 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2201201101001 its reverse (1001011021022), we get a palindrome (3202212122023).

The spelling of 2201201101001 in words is "two trillion, two hundred one billion, two hundred one million, one hundred one thousand, one".