211101101010111 has 64 divisors (see below), whose sum is σ = 308372364016640. Its totient is φ = 127661128842240.

The previous prime is 211101101010083. The next prime is 211101101010113. The reversal of 211101101010111 is 111010101101112.

It is not a de Polignac number, because 211101101010111 - 2²¹ = 211101098912959 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211101101010113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17849076780 + ... + 17849088606.

It is an arithmetic number, because the mean of its divisors is an integer number (4818318187760).

Almost surely, 2^{211101101010111} is an apocalyptic number.

211101101010111 is a deficient number, since it is larger than the sum of its proper divisors (97271263006529).

211101101010111 is a wasteful number, since it uses less digits than its factorization.

211101101010111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18176.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 211101101010111 its reverse (111010101101112), we get a palindrome (322111202111223).

The spelling of 211101101010111 in words is "two hundred eleven trillion, one hundred one billion, one hundred one million, ten thousand, one hundred eleven".