211100010021011 has 2 divisors, whose sum is σ = 211100010021012. Its totient is φ = 211100010021010.

The previous prime is 211100010021001. The next prime is 211100010021059. The reversal of 211100010021011 is 110120010001112.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211100010021011 is a prime.

It is a super-3 number, since 3×211100010021011³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 211100010020983 and 211100010021001.

It is not a weakly prime, because it can be changed into another prime (211100010021001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105550005010505 + 105550005010506.

It is an arithmetic number, because the mean of its divisors is an integer number (105550005010506).

Almost surely, 2^{211100010021011} is an apocalyptic number.

211100010021011 is a deficient number, since it is larger than the sum of its proper divisors (1).

211100010021011 is an equidigital number, since it uses as much as digits as its factorization.

211100010021011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 211100010021011 its reverse (110120010001112), we get a palindrome (321220020022123).

The spelling of 211100010021011 in words is "two hundred eleven trillion, one hundred billion, ten million, twenty-one thousand, eleven".