2020102101001 has 8 divisors (see below), whose sum is σ = 2160109179144. Its totient is φ = 1882448083200.

The previous prime is 2020102100987. The next prime is 2020102101007. The reversal of 2020102101001 is 1001012010202.

It can be written as a sum of positive squares in 4 ways, for example, as 1530913764601 + 489188336400 = 1237301^2 + 699420^2 .

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 2020102101001 - 2⁵ = 2020102100969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2020102101007) 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, 588263310 + ... + 588266743.

It is an arithmetic number, because the mean of its divisors is an integer number (270013647393).

Almost surely, 2^{2020102101001} is an apocalyptic number.

It is an amenable number.

2020102101001 is a deficient number, since it is larger than the sum of its proper divisors (140007078143).

2020102101001 is a wasteful number, since it uses less digits than its factorization.

2020102101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176530171.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2020102101001 its reverse (1001012010202), we get a palindrome (3021114111203).

The spelling of 2020102101001 in words is "two trillion, twenty billion, one hundred two million, one hundred one thousand, one".