2211120102001 has 8 divisors (see below), whose sum is σ = 2349286985160. Its totient is φ = 2081054209024.

The previous prime is 2211120101987. The next prime is 2211120102031. The reversal of 2211120102001 is 1002010211122.

It can be written as a sum of positive squares in 4 ways, for example, as 19607000625 + 2191513101376 = 140025^2 + 1480376^2 .

It is not a de Polignac number, because 2211120102001 - 2⁵ = 2211120101969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2211120102031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225022576 + ... + 225032401.

It is an arithmetic number, because the mean of its divisors is an integer number (293660873145).

Almost surely, 2^{2211120102001} is an apocalyptic number.

It is an amenable number.

2211120102001 is a deficient number, since it is larger than the sum of its proper divisors (138166883159).

2211120102001 is an frugal number, since it uses more digits than its factorization.

2211120102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450055028 (or 450054994 counting only the distinct ones).

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

Adding to 2211120102001 its reverse (1002010211122), we get a palindrome (3213130313123).

The spelling of 2211120102001 in words is "two trillion, two hundred eleven billion, one hundred twenty million, one hundred two thousand, one".