10011101101009 has 4 divisors (see below), whose sum is σ = 10040807632804. Its totient is φ = 9981394569216.

The previous prime is 10011101100977. The next prime is 10011101101039. The reversal of 10011101101009 is 90010110111001.

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 5200009804609 + 4811091296400 = 2280353^2 + 2193420^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011101101009 - 2⁵ = 10011101100977 is a prime.

It is a super-2 number, since 2×10011101101009² (a number of 27 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 = 10011101100983 and 10011101101001.

It is not an unprimeable number, because it can be changed into a prime (10011101101039) 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, 14853265392 + ... + 14853266065.

It is an arithmetic number, because the mean of its divisors is an integer number (2510201908201).

Almost surely, 2^{10011101101009} is an apocalyptic number.

It is an amenable number.

10011101101009 is a deficient number, since it is larger than the sum of its proper divisors (29706531795).

10011101101009 is an equidigital number, since it uses as much as digits as its factorization.

10011101101009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29706531794.

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

The spelling of 10011101101009 in words is "ten trillion, eleven billion, one hundred one million, one hundred one thousand, nine".