2001101020093 has 32 divisors (see below), whose sum is σ = 2336110191360. Its totient is φ = 1678746746880.

The previous prime is 2001101020081. The next prime is 2001101020129. The reversal of 2001101020093 is 3900201011002.

It is a de Polignac number, because none of the positive numbers 2^k-2001101020093 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2001101020093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001101020003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313698178 + ... + 313704556.

It is an arithmetic number, because the mean of its divisors is an integer number (73003443480).

Almost surely, 2^{2001101020093} is an apocalyptic number.

It is an amenable number.

2001101020093 is a deficient number, since it is larger than the sum of its proper divisors (335009171267).

2001101020093 is a wasteful number, since it uses less digits than its factorization.

2001101020093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11077.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 2001101020093 its reverse (3900201011002), we get a palindrome (5901302031095).

The spelling of 2001101020093 in words is "two trillion, one billion, one hundred one million, twenty thousand, ninety-three".