2211001100001 has 6 divisors (see below), whose sum is σ = 3193668255570. Its totient is φ = 1474000733328.

The previous prime is 2211001099987. The next prime is 2211001100017. The reversal of 2211001100001 is 1000011001122.

It is a happy number.

2211001100001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1993882378401 + 217118721600 = 1412049^2 + 465960^2 .

It is not a de Polignac number, because 2211001100001 - 2⁵ = 2211001099969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 245666788889 = 2211001100001 / (2 + 2 + 1 + 1 + 0 + 0 + 1 + 1 + 0 + 0 + 0 + 0 + 1).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2211001100201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 122833394436 + ... + 122833394453.

It is an arithmetic number, because the mean of its divisors is an integer number (532278042595).

Almost surely, 2^{2211001100001} is an apocalyptic number.

It is an amenable number.

2211001100001 is a deficient number, since it is larger than the sum of its proper divisors (982667155569).

2211001100001 is a wasteful number, since it uses less digits than its factorization.

2211001100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245666788895 (or 245666788892 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2211001100001 its reverse (1000011001122), we get a palindrome (3211012101123).

The spelling of 2211001100001 in words is "two trillion, two hundred eleven billion, one million, one hundred thousand, one".