211321020 has 48 divisors (see below), whose sum is σ = 593943840. Its totient is φ = 56138496.

The previous prime is 211321009. The next prime is 211321031. The reversal of 211321020 is 20123112.

It is an interprime number because it is at equal distance from previous prime (211321009) and next prime (211321031).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211320987 and 211321005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9594 + ... + 22686.

It is an arithmetic number, because the mean of its divisors is an integer number (12373830).

Almost surely, 2^211321020 is an apocalyptic number.

211321020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211321020 is an abundant number, since it is smaller than the sum of its proper divisors (382622820).

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

211321020 is a wasteful number, since it uses less digits than its factorization.

211321020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13374 (or 13372 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 211321020 is about 14536.8848107151. The cubic root of 211321020 is about 595.6359464623.

Adding to 211321020 its reverse (20123112), we get a palindrome (231444132).

The spelling of 211321020 in words is "two hundred eleven million, three hundred twenty-one thousand, twenty".