2210211100001 has 2 divisors, whose sum is σ = 2210211100002. Its totient is φ = 2210211100000.

The previous prime is 2210211099947. The next prime is 2210211100043. The reversal of 2210211100001 is 1000011120122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2126125599376 + 84085500625 = 1458124^2 + 289975^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210211100001 - 2³⁰ = 2209137358177 is a prime.

It is not a weakly prime, because it can be changed into another prime (2210211100061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105105550000 + 1105105550001.

It is an arithmetic number, because the mean of its divisors is an integer number (1105105550001).

Almost surely, 2^{2210211100001} is an apocalyptic number.

It is an amenable number.

2210211100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210211100001 is an equidigital number, since it uses as much as digits as its factorization.

2210211100001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2210211100001 its reverse (1000011120122), we get a palindrome (3210222220123).

The spelling of 2210211100001 in words is "two trillion, two hundred ten billion, two hundred eleven million, one hundred thousand, one".