101110011100101 has 6 divisors (see below), whose sum is σ = 146047793811270. Its totient is φ = 67406674066728.

The previous prime is 101110011100003. The next prime is 101110011100127. The reversal of 101110011100101 is 101001110011101.

It can be written as a sum of positive squares in only one way, i.e., 89424730296225 + 11685280803876 = 9456465^2 + 3418374^2 .

It is not a de Polignac number, because 101110011100101 - 2¹⁰ = 101110011099077 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: 11234445677789 = 101110011100101 / (1 + 0 + 1 + 1 + 1 + 0 + 0 + 1 + 1 + 1 + 0 + 0 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110011100201) 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, 5617222838886 + ... + 5617222838903.

It is an arithmetic number, because the mean of its divisors is an integer number (24341298968545).

Almost surely, 2^{101110011100101} is an apocalyptic number.

It is an amenable number.

101110011100101 is a deficient number, since it is larger than the sum of its proper divisors (44937782711169).

101110011100101 is a wasteful number, since it uses less digits than its factorization.

101110011100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11234445677795 (or 11234445677792 counting only the distinct ones).

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

Adding to 101110011100101 its reverse (101001110011101), we get a palindrome (202111121111202).

It can be divided in two parts, 10 and 1110011100101, that added together give a palindrome (1110011100111).

The spelling of 101110011100101 in words is "one hundred one trillion, one hundred ten billion, eleven million, one hundred thousand, one hundred one".