11111001001101 has 6 divisors (see below), whose sum is σ = 16049223668270. Its totient is φ = 7407334000728.

The previous prime is 11111001001021. The next prime is 11111001001229. The reversal of 11111001001101 is 10110010011111.

It can be written as a sum of positive squares in only one way, i.e., 10897584720201 + 213416280900 = 3301149^2 + 461970^2 .

It is not a de Polignac number, because 11111001001101 - 2¹³ = 11111000992909 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: 1234555666789 = 11111001001101 / (1 + 1 + 1 + 1 + 1 + 0 + 0 + 1 + 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 (11111001001301) 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, 617277833386 + ... + 617277833403.

Almost surely, 2^{11111001001101} is an apocalyptic number.

It is an amenable number.

11111001001101 is a deficient number, since it is larger than the sum of its proper divisors (4938222667169).

11111001001101 is a wasteful number, since it uses less digits than its factorization.

11111001001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234555666795 (or 1234555666792 counting only the distinct ones).

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

Adding to 11111001001101 its reverse (10110010011111), we get a palindrome (21221011012212).

The spelling of 11111001001101 in words is "eleven trillion, one hundred eleven billion, one million, one thousand, one hundred one".