100011002001109 has 16 divisors (see below), whose sum is σ = 102230648342064. Its totient is φ = 97810602393600.

The previous prime is 100011002001103. The next prime is 100011002001191. The reversal of 100011002001109 is 901100200110001.

It can be written as a sum of positive squares in 8 ways, for example, as 18105424972209 + 81905577028900 = 4255047^2 + 9050170^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011002001109 - 2³ = 100011002001101 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100011002001092 and 100011002001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011002001101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20301429 + ... + 24742069.

It is an arithmetic number, because the mean of its divisors is an integer number (6389415521379).

Almost surely, 2^{100011002001109} is an apocalyptic number.

It is an amenable number.

100011002001109 is a deficient number, since it is larger than the sum of its proper divisors (2219646340955).

100011002001109 is a wasteful number, since it uses less digits than its factorization.

100011002001109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4442808.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 100011002001109 in words is "one hundred trillion, eleven billion, two million, one thousand, one hundred nine".