1010002011001 has 32 divisors (see below), whose sum is σ = 1094595690240. Its totient is φ = 928945615104.

The previous prime is 1010002010987. The next prime is 1010002011059. The reversal of 1010002011001 is 1001102000101.

It is a cyclic number.

It is not a de Polignac number, because 1010002011001 - 2¹³ = 1010002002809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010002011301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167298955 + ... + 167304991.

It is an arithmetic number, because the mean of its divisors is an integer number (34206115320).

Almost surely, 2^{1010002011001} is an apocalyptic number.

It is an amenable number.

1010002011001 is a deficient number, since it is larger than the sum of its proper divisors (84593679239).

1010002011001 is a wasteful number, since it uses less digits than its factorization.

1010002011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7825.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1010002011001 its reverse (1001102000101), we get a palindrome (2011104011102).

The spelling of 1010002011001 in words is "one trillion, ten billion, two million, eleven thousand, one".