110002010113001 has 2 divisors, whose sum is σ = 110002010113002. Its totient is φ = 110002010113000.

The previous prime is 110002010112997. The next prime is 110002010113003. The reversal of 110002010113001 is 100311010200011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100689283704025 + 9312726408976 = 10034405^2 + 3051676^2 .

It is a cyclic number.

It is not a de Polignac number, because 110002010113001 - 2² = 110002010112997 is a prime.

It is a super-3 number, since 3×110002010113001³ (a number of 43 digits) contains 333 as substring.

Together with 110002010113003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (110002010113003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55001005056500 + 55001005056501.

It is an arithmetic number, because the mean of its divisors is an integer number (55001005056501).

Almost surely, 2^{110002010113001} is an apocalyptic number.

It is an amenable number.

110002010113001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110002010113001 is an equidigital number, since it uses as much as digits as its factorization.

110002010113001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 110002010113001 its reverse (100311010200011), we get a palindrome (210313020313012).

The spelling of 110002010113001 in words is "one hundred ten trillion, two billion, ten million, one hundred thirteen thousand, one".