2110211212011 has 128 divisors (see below), whose sum is σ = 3435312384000. Its totient is φ = 1150870855680.

The previous prime is 2110211212009. The next prime is 2110211212037. The reversal of 2110211212011 is 1102121120112.

It is a happy number.

It is not a de Polignac number, because 2110211212011 - 2¹ = 2110211212009 is a prime.

It is a super-3 number, since 3×2110211212011³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2110211212511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 312111871 + ... + 312118631.

It is an arithmetic number, because the mean of its divisors is an integer number (26838378000).

Almost surely, 2^{2110211212011} is an apocalyptic number.

2110211212011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2110211212011 is a deficient number, since it is larger than the sum of its proper divisors (1325101171989).

2110211212011 is an equidigital number, since it uses as much as digits as its factorization.

2110211212011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6994 (or 6980 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2110211212011 its reverse (1102121120112), we get a palindrome (3212332332123).

The spelling of 2110211212011 in words is "two trillion, one hundred ten billion, two hundred eleven million, two hundred twelve thousand, eleven".