2211000000001 has 16 divisors (see below), whose sum is σ = 2406016443600. Its totient is φ = 2019553210368.

The previous prime is 2210999999987. The next prime is 2211000000031. The reversal of 2211000000001 is 1000000001122.

It can be written as a sum of positive squares in 8 ways, for example, as 825962880625 + 1385037119376 = 908825^2 + 1176876^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211000000001 - 2²⁹ = 2210463129089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2211000000031) 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, 7765365 + ... + 8045053.

It is an arithmetic number, because the mean of its divisors is an integer number (150376027725).

Almost surely, 2^{2211000000001} is an apocalyptic number.

It is an amenable number.

2211000000001 is a deficient number, since it is larger than the sum of its proper divisors (195016443599).

2211000000001 is a wasteful number, since it uses less digits than its factorization.

2211000000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286068.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 2211000000001 its reverse (1000000001122), we get a palindrome (3211000001123).

The spelling of 2211000000001 in words is "two trillion, two hundred eleven billion, one", and thus it is an aban number.