2211210012011 has 48 divisors (see below), whose sum is σ = 3024854316288. Its totient is φ = 1588932878400.

The previous prime is 2211210011939. The next prime is 2211210012013. The reversal of 2211210012011 is 1102100121122.

It is not a de Polignac number, because 2211210012011 - 2¹⁴ = 2211209995627 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2211210012013) 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 47 ways as a sum of consecutive naturals, for example, 7071176 + ... + 7377258.

It is an arithmetic number, because the mean of its divisors is an integer number (63017798256).

Almost surely, 2^{2211210012011} is an apocalyptic number.

2211210012011 is a deficient number, since it is larger than the sum of its proper divisors (813644304277).

2211210012011 is a wasteful number, since it uses less digits than its factorization.

2211210012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307152 (or 307145 counting only the distinct ones).

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

Adding to 2211210012011 its reverse (1102100121122), we get a palindrome (3313310133133).

The spelling of 2211210012011 in words is "two trillion, two hundred eleven billion, two hundred ten million, twelve thousand, eleven".