2121002011011 has 32 divisors (see below), whose sum is σ = 3121601511168. Its totient is φ = 1273020566400.

The previous prime is 2121002011001. The next prime is 2121002011019. The reversal of 2121002011011 is 1101102001212.

It is a de Polignac number, because none of the positive numbers 2^k-2121002011011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2121002011019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3754461 + ... + 4282286.

It is an arithmetic number, because the mean of its divisors is an integer number (97550047224).

Almost surely, 2^{2121002011011} is an apocalyptic number.

2121002011011 is a deficient number, since it is larger than the sum of its proper divisors (1000599500157).

2121002011011 is a wasteful number, since it uses less digits than its factorization.

2121002011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8036931.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2121002011011 its reverse (1101102001212), we get a palindrome (3222104012223).

It can be divided in two parts, 212100201 and 1011, that added together give a palindrome (212101212).

The spelling of 2121002011011 in words is "two trillion, one hundred twenty-one billion, two million, eleven thousand, eleven".