10111001101111 has 2 divisors, whose sum is σ = 10111001101112. Its totient is φ = 10111001101110.

The previous prime is 10111001101087. The next prime is 10111001101139. The reversal of 10111001101111 is 11110110011101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10111001101111 - 2¹⁹ = 10111000576823 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10111001101171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055500550555 + 5055500550556.

It is an arithmetic number, because the mean of its divisors is an integer number (5055500550556).

Almost surely, 2^{10111001101111} is an apocalyptic number.

10111001101111 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111001101111 is an equidigital number, since it uses as much as digits as its factorization.

10111001101111 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 10111001101111 its reverse (11110110011101), we get a palindrome (21221111112212).

The spelling of 10111001101111 in words is "ten trillion, one hundred eleven billion, one million, one hundred one thousand, one hundred eleven".