20110211100101 has 8 divisors (see below), whose sum is σ = 20882905482264. Its totient is φ = 19350954881280.

The previous prime is 20110211100079. The next prime is 20110211100113. The reversal of 20110211100101 is 10100111201102.

It can be written as a sum of positive squares in 4 ways, for example, as 3039687640900 + 17070523459201 = 1743470^2 + 4131649^2 .

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 20110211100101 - 2⁶ = 20110211100037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110211100181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3359537786 + ... + 3359543771.

It is an arithmetic number, because the mean of its divisors is an integer number (2610363185283).

Almost surely, 2^{20110211100101} is an apocalyptic number.

It is an amenable number.

20110211100101 is a deficient number, since it is larger than the sum of its proper divisors (772694382163).

20110211100101 is an equidigital number, since it uses as much as digits as its factorization.

20110211100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6719081671.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 20110211100101 its reverse (10100111201102), we get a palindrome (30210322301203).

The spelling of 20110211100101 in words is "twenty trillion, one hundred ten billion, two hundred eleven million, one hundred thousand, one hundred one".