211010102011111 has 16 divisors (see below), whose sum is σ = 232538343689344. Its totient is φ = 190238998862304.

The previous prime is 211010102011081. The next prime is 211010102011151. The reversal of 211010102011111 is 111110201010112.

It is a cyclic number.

It is not a de Polignac number, because 211010102011111 - 2²⁵ = 211010068456679 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211010102011091 and 211010102011100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211010102011151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1102000 + ... + 20572666.

It is an arithmetic number, because the mean of its divisors is an integer number (14533646480584).

Almost surely, 2^{211010102011111} is an apocalyptic number.

211010102011111 is a deficient number, since it is larger than the sum of its proper divisors (21528241678233).

211010102011111 is a wasteful number, since it uses less digits than its factorization.

211010102011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19490110.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 211010102011111 its reverse (111110201010112), we get a palindrome (322120303021223).

The spelling of 211010102011111 in words is "two hundred eleven trillion, ten billion, one hundred two million, eleven thousand, one hundred eleven".