20011101100101 has 48 divisors (see below), whose sum is σ = 30773917324800. Its totient is φ = 12506414546304.

The previous prime is 20011101100061. The next prime is 20011101100129. The reversal of 20011101100101 is 10100110111002.

It is not a de Polignac number, because 20011101100101 - 2¹⁹ = 20011100575813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011101104101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2462670 + ... + 6788736.

It is an arithmetic number, because the mean of its divisors is an integer number (641123277600).

Almost surely, 2^{20011101100101} is an apocalyptic number.

It is an amenable number.

20011101100101 is a deficient number, since it is larger than the sum of its proper divisors (10762816224699).

20011101100101 is a wasteful number, since it uses less digits than its factorization.

20011101100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4326618 (or 4326615 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 20011101100101 its reverse (10100110111002), we get a palindrome (30111211211103).

The spelling of 20011101100101 in words is "twenty trillion, eleven billion, one hundred one million, one hundred thousand, one hundred one".