2121120002211 has 32 divisors (see below), whose sum is σ = 3304193679360. Its totient is φ = 1185115156896.

The previous prime is 2121120002171. The next prime is 2121120002291. The reversal of 2121120002211 is 1122000211212.

It is not a de Polignac number, because 2121120002211 - 2²⁷ = 2120985784483 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2121120002291) 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 31 ways as a sum of consecutive naturals, for example, 48741 + ... + 2060246.

It is an arithmetic number, because the mean of its divisors is an integer number (103256052480).

Almost surely, 2^{2121120002211} is an apocalyptic number.

2121120002211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2121120002211 is a deficient number, since it is larger than the sum of its proper divisors (1183073677149).

2121120002211 is a wasteful number, since it uses less digits than its factorization.

2121120002211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110063.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2121120002211 its reverse (1122000211212), we get a palindrome (3243120213423).

The spelling of 2121120002211 in words is "two trillion, one hundred twenty-one billion, one hundred twenty million, two thousand, two hundred eleven".