211100121011 has 16 divisors (see below), whose sum is σ = 230834274048. Its totient is φ = 191872346400.

The previous prime is 211100121007. The next prime is 211100121047. The reversal of 211100121011 is 110121001112.

211100121011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 211100121011 - 2² = 211100121007 is a prime.

It is a super-2 number, since 2×211100121011² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211100120983 and 211100121001.

It is not an unprimeable number, because it can be changed into a prime (211100127011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581096 + ... + 871706.

It is an arithmetic number, because the mean of its divisors is an integer number (14427142128).

Almost surely, 2^211100121011 is an apocalyptic number.

211100121011 is a deficient number, since it is larger than the sum of its proper divisors (19734153037).

211100121011 is a wasteful number, since it uses less digits than its factorization.

211100121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291482.

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

Adding to 211100121011 its reverse (110121001112), we get a palindrome (321221122123).

The spelling of 211100121011 in words is "two hundred eleven billion, one hundred million, one hundred twenty-one thousand, eleven".