101101110101009 has 8 divisors (see below), whose sum is σ = 102112424504040. Its totient is φ = 100089997920000.

The previous prime is 101101110100999. The next prime is 101101110101041. The reversal of 101101110101009 is 900101011101101.

It can be written as a sum of positive squares in 4 ways, for example, as 93725149380625 + 7375960720384 = 9681175^2 + 2715872^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101101110101009 - 2¹² = 101101110096913 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101101110109009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49550504 + ... + 51550505.

It is an arithmetic number, because the mean of its divisors is an integer number (12764053063005).

Almost surely, 2^{101101110101009} is an apocalyptic number.

It is an amenable number.

101101110101009 is a deficient number, since it is larger than the sum of its proper divisors (1011314403031).

101101110101009 is a wasteful number, since it uses less digits than its factorization.

101101110101009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101111011.

The product of its (nonzero) digits is 9, while the sum is 17.

The spelling of 101101110101009 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, one hundred one thousand, nine".