20211020100113 has 8 divisors (see below), whose sum is σ = 20329965740136. Its totient is φ = 20092098816000.

The previous prime is 20211020100107. The next prime is 20211020100157. The reversal of 20211020100113 is 31100102011202.

It can be written as a sum of positive squares in 4 ways, for example, as 10236717063169 + 9974303036944 = 3199487^2 + 3158212^2 .

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 20211020100113 - 2²⁰ = 20211019051537 is a prime.

It is a super-2 number, since 2×20211020100113² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20211020130113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4423118 + ... + 7745063.

It is an arithmetic number, because the mean of its divisors is an integer number (2541245717517).

Almost surely, 2^{20211020100113} is an apocalyptic number.

It is an amenable number.

20211020100113 is a deficient number, since it is larger than the sum of its proper divisors (118945640023).

20211020100113 is a wasteful number, since it uses less digits than its factorization.

20211020100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12177955.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 20211020100113 its reverse (31100102011202), we get a palindrome (51311122111315).

The spelling of 20211020100113 in words is "twenty trillion, two hundred eleven billion, twenty million, one hundred thousand, one hundred thirteen".