101111100001101 has 6 divisors (see below), whose sum is σ = 146049366668270. Its totient is φ = 67407400000728.

The previous prime is 101111100001063. The next prime is 101111100001129. The reversal of 101111100001101 is 101100001111101.

It can be written as a sum of positive squares in only one way, i.e., 99777144300201 + 1333955700900 = 9988851^2 + 1154970^2 .

It is not a de Polignac number, because 101111100001101 - 2¹⁴ = 101111099984717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11234566666789 = 101111100001101 / (1 + 0 + 1 + 1 + 1 + 1 + 1 + 0 + 0 + 0 + 0 + 1 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111100001001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5617283333386 + ... + 5617283333403.

Almost surely, 2^{101111100001101} is an apocalyptic number.

It is an amenable number.

101111100001101 is a deficient number, since it is larger than the sum of its proper divisors (44938266667169).

101111100001101 is a wasteful number, since it uses less digits than its factorization.

101111100001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11234566666795 (or 11234566666792 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101111100001101 its reverse (101100001111101), we get a palindrome (202211101112202).

It can be divided in two parts, 10111110000 and 1101, that added together give a palindrome (10111111101).

The spelling of 101111100001101 in words is "one hundred one trillion, one hundred eleven billion, one hundred million, one thousand, one hundred one".