110002121002009 has 8 divisors (see below), whose sum is σ = 110087375266440. Its totient is φ = 109916874216576.

The previous prime is 110002121002001. The next prime is 110002121002027. The reversal of 110002121002009 is 900200121200011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22959938472409 + 87042182529600 = 4791653^2 + 9329640^2 .

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 110002121002009 - 2³ = 110002121002001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110002121002001) 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, 27739477 + ... + 31456045.

It is an arithmetic number, because the mean of its divisors is an integer number (13760921908305).

Almost surely, 2^{110002121002009} is an apocalyptic number.

It is an amenable number.

110002121002009 is a deficient number, since it is larger than the sum of its proper divisors (85254264431).

110002121002009 is a wasteful number, since it uses less digits than its factorization.

110002121002009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3739499.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 110002121002009 in words is "one hundred ten trillion, two billion, one hundred twenty-one million, two thousand, nine".