211003221420 has 144 divisors (see below), whose sum is σ = 643938265152. Its totient is φ = 55925637120.

The previous prime is 211003221371. The next prime is 211003221427. The reversal of 211003221420 is 24122300112.

It is a happy number.

211003221420 is a `hidden beast` number, since 21 + 1 + 0 + 0 + 3 + 221 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211003221393 and 211003221402.

It is not an unprimeable number, because it can be changed into a prime (211003221427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53949265 + ... + 53953175.

It is an arithmetic number, because the mean of its divisors is an integer number (4471793508).

Almost surely, 2^211003221420 is an apocalyptic number.

211003221420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211003221420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321969132576).

211003221420 is an abundant number, since it is smaller than the sum of its proper divisors (432935043732).

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

211003221420 is a wasteful number, since it uses less digits than its factorization.

211003221420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5672 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 211003221420 its reverse (24122300112), we get a palindrome (235125521532).

The spelling of 211003221420 in words is "two hundred eleven billion, three million, two hundred twenty-one thousand, four hundred twenty".