20101220131021 has 8 divisors (see below), whose sum is σ = 20525313476664. Its totient is φ = 19681146627840.

The previous prime is 20101220131007. The next prime is 20101220131033. The reversal of 20101220131021 is 12013102210102.

It can be written as a sum of positive squares in 4 ways, for example, as 1080622620900 + 19020597510121 = 1039530^2 + 4361261^2 .

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 20101220131021 - 2²⁹ = 20100683260109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20101220130986 and 20101220131004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101220131061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1004950510 + ... + 1004970511.

It is an arithmetic number, because the mean of its divisors is an integer number (2565664184583).

Almost surely, 2^{20101220131021} is an apocalyptic number.

It is an amenable number.

20101220131021 is a deficient number, since it is larger than the sum of its proper divisors (424093345643).

20101220131021 is a wasteful number, since it uses less digits than its factorization.

20101220131021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009921231.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 20101220131021 its reverse (12013102210102), we get a palindrome (32114322341123).

The spelling of 20101220131021 in words is "twenty trillion, one hundred one billion, two hundred twenty million, one hundred thirty-one thousand, twenty-one".