2001102000093 has 24 divisors (see below), whose sum is σ = 3303497664896. Its totient is φ = 1143455292000.

The previous prime is 2001101999957. The next prime is 2001102000167. The reversal of 2001102000093 is 3900002011002.

It is a happy number.

It is not a de Polignac number, because 2001102000093 - 2⁹ = 2001101999581 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001102000593) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1965768 + ... + 2804718.

Almost surely, 2^{2001102000093} is an apocalyptic number.

It is an amenable number.

2001102000093 is a deficient number, since it is larger than the sum of its proper divisors (1302395664803).

2001102000093 is a wasteful number, since it uses less digits than its factorization.

2001102000093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876825 (or 876822 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2001102000093 its reverse (3900002011002), we get a palindrome (5901104011095).

The spelling of 2001102000093 in words is "two trillion, one billion, one hundred two million, ninety-three", and thus it is an aban number.