20110001101001 has 24 divisors (see below), whose sum is σ = 24588423166464. Its totient is φ = 16106227945920.

The previous prime is 20110001100949. The next prime is 20110001101007. The reversal of 20110001101001 is 10010110001102.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-20110001101001 is a prime.

It is a super-2 number, since 2×20110001101001² (a number of 27 digits) contains 22 as substring.

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 20110001101001.

It is not an unprimeable number, because it can be changed into a prime (20110001101007) 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, 54322745 + ... + 54691686.

It is an arithmetic number, because the mean of its divisors is an integer number (1024517631936).

Almost surely, 2^{20110001101001} is an apocalyptic number.

It is an amenable number.

20110001101001 is a deficient number, since it is larger than the sum of its proper divisors (4478422065463).

20110001101001 is a wasteful number, since it uses less digits than its factorization.

20110001101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109014549 (or 109014530 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 20110001101001 its reverse (10010110001102), we get a palindrome (30120111102103).

The spelling of 20110001101001 in words is "twenty trillion, one hundred ten billion, one million, one hundred one thousand, one".