211211202220011 has 48 divisors (see below), whose sum is σ = 369312064962048. Its totient is φ = 113550677164800.

The previous prime is 211211202219967. The next prime is 211211202220027. The reversal of 211211202220011 is 110022202112112.

211211202220011 is a `hidden beast` number, since 21 + 1 + 211 + 202 + 220 + 0 + 11 = 666.

It is not a de Polignac number, because 211211202220011 - 2²⁵ = 211211168665579 is a prime.

It is a super-2 number, since 2×211211202220011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211211202220091) 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 47 ways as a sum of consecutive naturals, for example, 33468585 + ... + 39275546.

It is an arithmetic number, because the mean of its divisors is an integer number (7694001353376).

Almost surely, 2^{211211202220011} is an apocalyptic number.

211211202220011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211211202220011 is a deficient number, since it is larger than the sum of its proper divisors (158100862742037).

211211202220011 is a wasteful number, since it uses less digits than its factorization.

211211202220011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72746872 (or 72746869 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211211202220011 its reverse (110022202112112), we get a palindrome (321233404332123).

The spelling of 211211202220011 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred two million, two hundred twenty thousand, eleven".