1010001105001 has 12 divisors (see below), whose sum is σ = 1176834862848. Its totient is φ = 864288987912.

The previous prime is 1010001104999. The next prime is 1010001105007. The reversal of 1010001105001 is 1005011000101.

It is not a de Polignac number, because 1010001105001 - 2¹ = 1010001104999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010001105007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16949061 + ... + 17008546.

It is an arithmetic number, because the mean of its divisors is an integer number (98069571904).

Almost surely, 2^{1010001105001} is an apocalyptic number.

It is an amenable number.

1010001105001 is a deficient number, since it is larger than the sum of its proper divisors (166833757847).

1010001105001 is an equidigital number, since it uses as much as digits as its factorization.

1010001105001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33958228 (or 33958221 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 10.

Adding to 1010001105001 its reverse (1005011000101), we get a palindrome (2015012105102).

The spelling of 1010001105001 in words is "one trillion, ten billion, one million, one hundred five thousand, one".