211010220110020 has 24 divisors (see below), whose sum is σ = 443149599375000. Its totient is φ = 84398728588032.

The previous prime is 211010220109981. The next prime is 211010220110021. The reversal of 211010220110020 is 20011022010112.

It can be written as a sum of positive squares in 4 ways, for example, as 4400873926276 + 206609346183744 = 2097826^2 + 14373912^2 .

It is not an unprimeable number, because it can be changed into a prime (211010220110021) 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, 334643145 + ... + 335273104.

It is an arithmetic number, because the mean of its divisors is an integer number (18464566640625).

Almost surely, 2^{211010220110020} is an apocalyptic number.

211010220110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211010220110020 is an abundant number, since it is smaller than the sum of its proper divisors (232139379264980).

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

211010220110020 is a wasteful number, since it uses less digits than its factorization.

211010220110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669932007 (or 669932005 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211010220110020 its reverse (20011022010112), we get a palindrome (231021242120132).

The spelling of 211010220110020 in words is "two hundred eleven trillion, ten billion, two hundred twenty million, one hundred ten thousand, twenty".