2121011211011 has 32 divisors (see below), whose sum is σ = 2662851179520. Its totient is φ = 1641197952000.

The previous prime is 2121011210957. The next prime is 2121011211041. The reversal of 2121011211011 is 1101121101212.

It is a cyclic number.

It is not a de Polignac number, because 2121011211011 - 2⁶ = 2121011210947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2121011211041) 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, 33651935 + ... + 33714903.

It is an arithmetic number, because the mean of its divisors is an integer number (83214099360).

Almost surely, 2^{2121011211011} is an apocalyptic number.

2121011211011 is a deficient number, since it is larger than the sum of its proper divisors (541839968509).

2121011211011 is a wasteful number, since it uses less digits than its factorization.

2121011211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66035.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2121011211011 its reverse (1101121101212), we get a palindrome (3222132312223).

The spelling of 2121011211011 in words is "two trillion, one hundred twenty-one billion, eleven million, two hundred eleven thousand, eleven".