2211010110001 has 16 divisors (see below), whose sum is σ = 2777626672128. Its totient is φ = 1709713371600.

The previous prime is 2211010109947. The next prime is 2211010110007. The reversal of 2211010110001 is 1000110101122.

It is a cyclic number.

It is not a de Polignac number, because 2211010110001 - 2¹³ = 2211010101809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2211010110001.

It is not an unprimeable number, because it can be changed into a prime (2211010110007) 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 15 ways as a sum of consecutive naturals, for example, 109586925 + ... + 109607098.

It is an arithmetic number, because the mean of its divisors is an integer number (173601667008).

Almost surely, 2^{2211010110001} is an apocalyptic number.

It is an amenable number.

2211010110001 is a deficient number, since it is larger than the sum of its proper divisors (566616562127).

2211010110001 is a wasteful number, since it uses less digits than its factorization.

2211010110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219194172.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2211010110001 its reverse (1000110101122), we get a palindrome (3211120211123).

The spelling of 2211010110001 in words is "two trillion, two hundred eleven billion, ten million, one hundred ten thousand, one".