101111111110101 has 128 divisors (see below), whose sum is σ = 142590092603904. Its totient is φ = 63675511603200.

The previous prime is 101111111110003. The next prime is 101111111110127. The reversal of 101111111110101 is 101011111111101.

It is a de Polignac number, because none of the positive numbers 2^k-101111111110101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111111110171) 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 127 ways as a sum of consecutive naturals, for example, 87693937941 + ... + 87693939093.

It is an arithmetic number, because the mean of its divisors is an integer number (1113985098468).

Almost surely, 2^{101111111110101} is an apocalyptic number.

It is an amenable number.

101111111110101 is a deficient number, since it is larger than the sum of its proper divisors (41478981493803).

101111111110101 is a wasteful number, since it uses less digits than its factorization.

101111111110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183.

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 101111111110101 its reverse (101011111111101), we get a palindrome (202122222221202).

The spelling of 101111111110101 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, one hundred ten thousand, one hundred one".