211211010020 has 48 divisors (see below), whose sum is σ = 469707018480. Its totient is φ = 79502352384.

The previous prime is 211211010007. The next prime is 211211010077. The reversal of 211211010020 is 20010112112.

211211010020 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 8 ways, for example, as 33612822244 + 177598187776 = 183338^2 + 421424^2 .

It is a super-2 number, since 2×211211010020² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211211009983 and 211211010010.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2306876 + ... + 2396684.

It is an arithmetic number, because the mean of its divisors is an integer number (9785562885).

Almost surely, 2^211211010020 is an apocalyptic number.

211211010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211010020 is an abundant number, since it is smaller than the sum of its proper divisors (258496008460).

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

211211010020 is a wasteful number, since it uses less digits than its factorization.

211211010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96752 (or 96750 counting only the distinct ones).

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

Adding to 211211010020 its reverse (20010112112), we get a palindrome (231221122132).

The spelling of 211211010020 in words is "two hundred eleven billion, two hundred eleven million, ten thousand, twenty".