2021100211011 has 32 divisors (see below), whose sum is σ = 3089336440320. Its totient is φ = 1151328600576.

The previous prime is 2021100211007. The next prime is 2021100211057. The reversal of 2021100211011 is 1101120011202.

It is not a de Polignac number, because 2021100211011 - 2² = 2021100211007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2021100211001) 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, 67832305 + ... + 67862093.

It is an arithmetic number, because the mean of its divisors is an integer number (96541763760).

Almost surely, 2^{2021100211011} is an apocalyptic number.

2021100211011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2021100211011 is a deficient number, since it is larger than the sum of its proper divisors (1068236229309).

2021100211011 is a wasteful number, since it uses less digits than its factorization.

2021100211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39723.

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

Adding to 2021100211011 its reverse (1101120011202), we get a palindrome (3122220222213).

The spelling of 2021100211011 in words is "two trillion, twenty-one billion, one hundred million, two hundred eleven thousand, eleven".