1101001111101 has 6 divisors (see below), whose sum is σ = 1590334938270. Its totient is φ = 734000740728.

The previous prime is 1101001111061. The next prime is 1101001111139. The reversal of 1101001111101 is 1011111001011.

It can be written as a sum of positive squares in only one way, i.e., 926548705476 + 174452405625 = 962574^2 + 417675^2 .

It is not a de Polignac number, because 1101001111101 - 2⁹ = 1101001110589 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: 122333456789 = 1101001111101 / (1 + 1 + 0 + 1 + 0 + 0 + 1 + 1 + 1 + 1 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101001111141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61166728386 + ... + 61166728403.

It is an arithmetic number, because the mean of its divisors is an integer number (265055823045).

Almost surely, 2^{1101001111101} is an apocalyptic number.

It is an amenable number.

1101001111101 is a deficient number, since it is larger than the sum of its proper divisors (489333827169).

1101001111101 is a wasteful number, since it uses less digits than its factorization.

1101001111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122333456795 (or 122333456792 counting only the distinct ones).

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

Adding to 1101001111101 its reverse (1011111001011), we get a palindrome (2112112112112).

The spelling of 1101001111101 in words is "one trillion, one hundred one billion, one million, one hundred eleven thousand, one hundred one".