20110100001001 has 4 divisors (see below), whose sum is σ = 20110109226372. Its totient is φ = 20110090775632.

The previous prime is 20110100000957. The next prime is 20110100001031. The reversal of 20110100001001 is 10010000101102.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 4419984845376 + 15690115155625 = 2102376^2 + 3961075^2 .

It is a cyclic number.

It is not a de Polignac number, because 20110100001001 - 2⁹ = 20110100000489 is a prime.

It is a super-2 number, since 2×20110100001001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20110100001031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 686091 + ... + 6378943.

It is an arithmetic number, because the mean of its divisors is an integer number (5027527306593).

Almost surely, 2^{20110100001001} is an apocalyptic number.

It is an amenable number.

20110100001001 is a deficient number, since it is larger than the sum of its proper divisors (9225371).

20110100001001 is an equidigital number, since it uses as much as digits as its factorization.

20110100001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9225370.

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

Adding to 20110100001001 its reverse (10010000101102), we get a palindrome (30120100102103).

The spelling of 20110100001001 in words is "twenty trillion, one hundred ten billion, one hundred million, one thousand, one".