20011000010101 has 16 divisors (see below), whose sum is σ = 21243384442800. Its totient is φ = 18784759984128.

The previous prime is 20011000010087. The next prime is 20011000010167. The reversal of 20011000010101 is 10101000011002.

It can be written as a sum of positive squares in 8 ways, for example, as 4080117204900 + 15930882805201 = 2019930^2 + 3991351^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20011000010101 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 (20011000010171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280415041 + ... + 280486393.

It is an arithmetic number, because the mean of its divisors is an integer number (1327711527675).

Almost surely, 2^{20011000010101} is an apocalyptic number.

It is an amenable number.

20011000010101 is a deficient number, since it is larger than the sum of its proper divisors (1232384432699).

20011000010101 is a wasteful number, since it uses less digits than its factorization.

20011000010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114168.

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

Adding to 20011000010101 its reverse (10101000011002), we get a palindrome (30112000021103).

Subtracting from 20011000010101 its reverse (10101000011002), we obtain a palindrome (9909999999099).

The spelling of 20011000010101 in words is "twenty trillion, eleven billion, ten thousand, one hundred one".