20101100101 has 8 divisors (see below), whose sum is σ = 21334080024. Its totient is φ = 18873738240.

The previous prime is 20101100099. The next prime is 20101100111. The reversal of 20101100101 is 10100110102.

It can be written as a sum of positive squares in 4 ways, for example, as 541679076 + 19559421025 = 23274^2 + 139855^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20101100101 - 2¹ = 20101100099 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 (20101100111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1397140 + ... + 1411453.

It is an arithmetic number, because the mean of its divisors is an integer number (2666760003).

Almost surely, 2^20101100101 is an apocalyptic number.

It is an amenable number.

20101100101 is a deficient number, since it is larger than the sum of its proper divisors (1232979923).

20101100101 is a wasteful number, since it uses less digits than its factorization.

20101100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809031.

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

Adding to 20101100101 its reverse (10100110102), we get a palindrome (30201210203).

The spelling of 20101100101 in words is "twenty billion, one hundred one million, one hundred thousand, one hundred one".