101101111100111 has 8 divisors (see below), whose sum is σ = 101513403613104. Its totient is φ = 100689610697280.

The previous prime is 101101111100083. The next prime is 101101111100113. The reversal of 101101111100111 is 111001111101101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101101111100111 - 2¹⁴ = 101101111083727 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101101111100092 and 101101111100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101111100113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197771750 + ... + 198282291.

It is an arithmetic number, because the mean of its divisors is an integer number (12689175451638).

Almost surely, 2^{101101111100111} is an apocalyptic number.

101101111100111 is a deficient number, since it is larger than the sum of its proper divisors (412292512993).

101101111100111 is an equidigital number, since it uses as much as digits as its factorization.

101101111100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396055081.

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

Adding to 101101111100111 its reverse (111001111101101), we get a palindrome (212102222201212).

The spelling of 101101111100111 in words is "one hundred one trillion, one hundred one billion, one hundred eleven million, one hundred thousand, one hundred eleven".