2210120211011 has 16 divisors (see below), whose sum is σ = 2413331354400. Its totient is φ = 2021597978400.

The previous prime is 2210120210933. The next prime is 2210120211023. The reversal of 2210120211011 is 1101120210122.

It is not a de Polignac number, because 2210120211011 - 2¹⁰ = 2210120209987 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2210120211071) 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, 5356640 + ... + 5754461.

It is an arithmetic number, because the mean of its divisors is an integer number (150833209650).

Almost surely, 2^{2210120211011} is an apocalyptic number.

2210120211011 is a deficient number, since it is larger than the sum of its proper divisors (203211143389).

2210120211011 is an equidigital number, since it uses as much as digits as its factorization.

2210120211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11111187 (or 11111149 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2210120211011 its reverse (1101120210122), we get a palindrome (3311240421133).

The spelling of 2210120211011 in words is "two trillion, two hundred ten billion, one hundred twenty million, two hundred eleven thousand, eleven".