2210010100001 has 6 divisors (see below), whose sum is σ = 2429184655506. Its totient is φ = 2009100090800.

The previous prime is 2210010099977. The next prime is 2210010100009. The reversal of 2210010100001 is 1000010100122.

It can be written as a sum of positive squares in only one way, i.e., 2035975119376 + 174034980625 = 1426876^2 + 417175^2 .

It is not a de Polignac number, because 2210010100001 - 2³⁴ = 2192830230817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2210010100009) 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 in 5 ways as a sum of consecutive naturals, for example, 9132273020 + ... + 9132273261.

It is an arithmetic number, because the mean of its divisors is an integer number (404864109251).

Almost surely, 2^{2210010100001} is an apocalyptic number.

It is an amenable number.

2210010100001 is a deficient number, since it is larger than the sum of its proper divisors (219174555505).

2210010100001 is a wasteful number, since it uses less digits than its factorization.

2210010100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18264546303 (or 18264546292 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2210010100001 its reverse (1000010100122), we get a palindrome (3210020200123).

It can be divided in two parts, 22100 and 10100001, that added together give a palindrome (10122101).

The spelling of 2210010100001 in words is "two trillion, two hundred ten billion, ten million, one hundred thousand, one".