211211020 has 12 divisors (see below), whose sum is σ = 443543184. Its totient is φ = 84484400.

The previous prime is 211211017. The next prime is 211211023. The reversal of 211211020 is 20112112.

It is an interprime number because it is at equal distance from previous prime (211211017) and next prime (211211023).

It is a super-2 number, since 2×211211020² = 89220189938880800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 211210988 and 211211006.

It is not an unprimeable number, because it can be changed into a prime (211211023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5280256 + ... + 5280295.

It is an arithmetic number, because the mean of its divisors is an integer number (36961932).

Almost surely, 2^211211020 is an apocalyptic number.

211211020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211020 is an abundant number, since it is smaller than the sum of its proper divisors (232332164).

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

211211020 is a wasteful number, since it uses less digits than its factorization.

211211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10560560 (or 10560558 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 211211020 is about 14533.1008391190. The cubic root of 211211020 is about 595.5325787269.

Adding to 211211020 its reverse (20112112), we get a palindrome (231323132).

The spelling of 211211020 in words is "two hundred eleven million, two hundred eleven thousand, twenty".