101110001110111 has 16 divisors (see below), whose sum is σ = 116544927755520. Its totient is φ = 85925903022720.

The previous prime is 101110001110103. The next prime is 101110001110117. The reversal of 101110001110111 is 111011100011101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101110001110111 - 2³ = 101110001110103 is a prime.

It is a super-3 number, since 3×101110001110111³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110001110117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131632021 + ... + 132397918.

It is an arithmetic number, because the mean of its divisors is an integer number (7284057984720).

Almost surely, 2^{101110001110111} is an apocalyptic number.

101110001110111 is a deficient number, since it is larger than the sum of its proper divisors (15434926645409).

101110001110111 is a wasteful number, since it uses less digits than its factorization.

101110001110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264030414.

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

Adding to 101110001110111 its reverse (111011100011101), we get a palindrome (212121101121212).

It can be divided in two parts, 1011100011101 and 11, that multiplied together give a palindrome (11122100122111).

The spelling of 101110001110111 in words is "one hundred one trillion, one hundred ten billion, one million, one hundred ten thousand, one hundred eleven".