101111000111011 has 24 divisors (see below), whose sum is σ = 117677267188992. Its totient is φ = 86511226348800.

The previous prime is 101111000110997. The next prime is 101111000111129. The reversal of 101111000111011 is 110111000111101.

It is a happy number.

It is not a de Polignac number, because 101111000111011 - 2⁴¹ = 98911976855459 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101111000111711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291799486 + ... + 292145788.

It is an arithmetic number, because the mean of its divisors is an integer number (4903219466208).

Almost surely, 2^{101111000111011} is an apocalyptic number.

101111000111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101111000111011 is a deficient number, since it is larger than the sum of its proper divisors (16566267077981).

101111000111011 is a wasteful number, since it uses less digits than its factorization.

101111000111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488283 (or 488272 counting only the distinct ones).

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

Adding to 101111000111011 its reverse (110111000111101), we get a palindrome (211222000222112).

The spelling of 101111000111011 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven thousand, eleven".