1011101101009 has 4 divisors (see below), whose sum is σ = 1012046940340. Its totient is φ = 1010155261680.

The previous prime is 1011101101007. The next prime is 1011101101057. The reversal of 1011101101009 is 9001011011101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 723835116225 + 287265984784 = 850785^2 + 535972^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011101101009 - 2¹ = 1011101101007 is a prime.

It is a super-2 number, since 2×1011101101009² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011101100983 and 1011101101001.

It is not an unprimeable number, because it can be changed into a prime (1011101101007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 472918062 + ... + 472920199.

It is an arithmetic number, because the mean of its divisors is an integer number (253011735085).

Almost surely, 2^{1011101101009} is an apocalyptic number.

It is an amenable number.

1011101101009 is a deficient number, since it is larger than the sum of its proper divisors (945839331).

1011101101009 is an equidigital number, since it uses as much as digits as its factorization.

1011101101009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945839330.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 1011101101009 in words is "one trillion, eleven billion, one hundred one million, one hundred one thousand, nine".