211010201010020 has 12 divisors (see below), whose sum is σ = 443121422121084. Its totient is φ = 84404080404000.

The previous prime is 211010201009957. The next prime is 211010201010029. The reversal of 211010201010020 is 20010102010112.

It can be written as a sum of positive squares in 2 ways, for example, as 133771800832576 + 77238400177444 = 11565976^2 + 8788538^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211010201009983 and 211010201010010.

It is not an unprimeable number, because it can be changed into a prime (211010201010029) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5275255025231 + ... + 5275255025270.

It is an arithmetic number, because the mean of its divisors is an integer number (36926785176757).

Almost surely, 2^{211010201010020} is an apocalyptic number.

211010201010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211010201010020 is an abundant number, since it is smaller than the sum of its proper divisors (232111221111064).

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

211010201010020 is a wasteful number, since it uses less digits than its factorization.

211010201010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10550510050510 (or 10550510050508 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211010201010020 its reverse (20010102010112), we get a palindrome (231020303020132).

The spelling of 211010201010020 in words is "two hundred eleven trillion, ten billion, two hundred one million, ten thousand, twenty".