10201211202020 has 72 divisors (see below), whose sum is σ = 21917781608184. Its totient is φ = 3988132175872.

The previous prime is 10201211201989. The next prime is 10201211202029. The reversal of 10201211202020 is 2020211210201.

10201211202020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5835017074084 + 4366194127936 = 2415578^2 + 2089544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10201211201986 and 10201211202004.

It is not an unprimeable number, because it can be changed into a prime (10201211202029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11620772 + ... + 12467748.

It is an arithmetic number, because the mean of its divisors is an integer number (304413633447).

Almost surely, 2^{10201211202020} is an apocalyptic number.

10201211202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201211202020 is an abundant number, since it is smaller than the sum of its proper divisors (11716570406164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10201211202020 is a wasteful number, since it uses less digits than its factorization.

10201211202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847277 (or 847216 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10201211202020 its reverse (2020211210201), we get a palindrome (12221422412221).

The spelling of 10201211202020 in words is "ten trillion, two hundred one billion, two hundred eleven million, two hundred two thousand, twenty".