211010100111 has 16 divisors (see below), whose sum is σ = 317010481920. Its totient is φ = 138692083320.

The previous prime is 211010100101. The next prime is 211010100137. The reversal of 211010100111 is 111001010112.

211010100111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211010100111 - 2¹⁷ = 211009969039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 211010100093 and 211010100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211010100101) 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, 55034625 + ... + 55038458.

It is an arithmetic number, because the mean of its divisors is an integer number (19813155120).

Almost surely, 2^211010100111 is an apocalyptic number.

211010100111 is a deficient number, since it is larger than the sum of its proper divisors (106000381809).

211010100111 is a wasteful number, since it uses less digits than its factorization.

211010100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110073163 (or 110073157 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 211010100111 its reverse (111001010112), we get a palindrome (322011110223).

The spelling of 211010100111 in words is "two hundred eleven billion, ten million, one hundred thousand, one hundred eleven".