10101101101009 has 4 divisors (see below), whose sum is σ = 10205236164004. Its totient is φ = 9996966038016.

The previous prime is 10101101100941. The next prime is 10101101101051. The reversal of 10101101101009 is 90010110110101.

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 6951807210384 + 3149293890625 = 2636628^2 + 1774625^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101101101009 - 2¹⁵ = 10101101068241 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101101100983 and 10101101101001.

It is not an unprimeable number, because it can be changed into a prime (10101101101079) 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, 52067531352 + ... + 52067531545.

It is an arithmetic number, because the mean of its divisors is an integer number (2551309041001).

Almost surely, 2^{10101101101009} is an apocalyptic number.

It is an amenable number.

10101101101009 is a deficient number, since it is larger than the sum of its proper divisors (104135062995).

10101101101009 is an equidigital number, since it uses as much as digits as its factorization.

10101101101009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104135062994.

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

The spelling of 10101101101009 in words is "ten trillion, one hundred one billion, one hundred one million, one hundred one thousand, nine".