101111101101101 has 16 divisors (see below), whose sum is σ = 124448619727488. Its totient is φ = 79997300049600.

The previous prime is 101111101101053. The next prime is 101111101101113. The reversal of 101111101101101 is 101101101111101.

It is a cyclic number.

It is not a de Polignac number, because 101111101101101 - 2⁶ = 101111101101037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111101101181) 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, 15973355 + ... + 21386216.

It is an arithmetic number, because the mean of its divisors is an integer number (7778038732968).

Almost surely, 2^{101111101101101} is an apocalyptic number.

It is an amenable number.

101111101101101 is a deficient number, since it is larger than the sum of its proper divisors (23337518626387).

101111101101101 is a wasteful number, since it uses less digits than its factorization.

101111101101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37389332.

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

Adding to 101111101101101 its reverse (101101101111101), we get a palindrome (202212202212202).

It can be divided in two parts, 101111101 and 101101, that multiplied together give a palindrome (10222433422201).

The spelling of 101111101101101 in words is "one hundred one trillion, one hundred eleven billion, one hundred one million, one hundred one thousand, one hundred one".