101011001111111 has 16 divisors (see below), whose sum is σ = 128331594467328. Its totient is φ = 77342702018400.

The previous prime is 101011001111101. The next prime is 101011001111123. The reversal of 101011001111111 is 111111100110101.

It is not a de Polignac number, because 101011001111111 - 2¹⁴ = 101011001094727 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101011001111092 and 101011001111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011001111101) 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, 17903400425 + ... + 17903406066.

It is an arithmetic number, because the mean of its divisors is an integer number (8020724654208).

Almost surely, 2^{101011001111111} is an apocalyptic number.

101011001111111 is a deficient number, since it is larger than the sum of its proper divisors (27320593356217).

101011001111111 is a wasteful number, since it uses less digits than its factorization.

101011001111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35806806542.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 101011001111111 its reverse (111111100110101), we get a palindrome (212122101221212).

The spelling of 101011001111111 in words is "one hundred one trillion, eleven billion, one million, one hundred eleven thousand, one hundred eleven".