101101012100009 has 8 divisors (see below), whose sum is σ = 103426195621320. Its totient is φ = 98801240420736.

The previous prime is 101101012099999. The next prime is 101101012100111. The reversal of 101101012100009 is 900001210101101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 55359596802409 + 45741415297600 = 7440403^2 + 6763240^2 .

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 101101012100009 - 2⁴ = 101101012099993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101101012100009.

It is not an unprimeable number, because it can be changed into a prime (101101012300009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6352952462 + ... + 6352968375.

It is an arithmetic number, because the mean of its divisors is an integer number (12928274452665).

Almost surely, 2^{101101012100009} is an apocalyptic number.

It is an amenable number.

101101012100009 is a deficient number, since it is larger than the sum of its proper divisors (2325183521311).

101101012100009 is a wasteful number, since it uses less digits than its factorization.

101101012100009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12705921019.

The product of its (nonzero) digits is 18, while the sum is 17.

The spelling of 101101012100009 in words is "one hundred one trillion, one hundred one billion, twelve million, one hundred thousand, nine".