2020110101001 has 12 divisors (see below), whose sum is σ = 2919644229060. Its totient is φ = 1345952028960.

The previous prime is 2020110100991. The next prime is 2020110101003. The reversal of 2020110101001 is 1001010110202.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 920978024976 + 1099132076025 = 959676^2 + 1048395^2 .

It is not a de Polignac number, because 2020110101001 - 2⁵ = 2020110100969 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2020110101003) 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 11 ways as a sum of consecutive naturals, for example, 65653630 + ... + 65684391.

It is an arithmetic number, because the mean of its divisors is an integer number (243303685755).

Almost surely, 2^{2020110101001} is an apocalyptic number.

It is an amenable number.

2020110101001 is a deficient number, since it is larger than the sum of its proper divisors (899534128059).

2020110101001 is a wasteful number, since it uses less digits than its factorization.

2020110101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131339736 (or 131339733 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2020110101001 its reverse (1001010110202), we get a palindrome (3021120211203).

The spelling of 2020110101001 in words is "two trillion, twenty billion, one hundred ten million, one hundred one thousand, one".