211300321221020 has 192 divisors, whose sum is σ = 485268187493376. Its totient is φ = 76960121241600.

The previous prime is 211300321221013. The next prime is 211300321221049. The reversal of 211300321221020 is 20122123003112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211300321220983 and 211300321221001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2392910870 + ... + 2392999170.

It is an arithmetic number, because the mean of its divisors is an integer number (2527438476528).

Almost surely, 2^{211300321221020} is an apocalyptic number.

211300321221020 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 211300321221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242634093746688).

211300321221020 is an abundant number, since it is smaller than the sum of its proper divisors (273967866272356).

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

211300321221020 is a wasteful number, since it uses less digits than its factorization.

211300321221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89440 (or 89438 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 211300321221020 its reverse (20122123003112), we get a palindrome (231422444224132).

The spelling of 211300321221020 in words is "two hundred eleven trillion, three hundred billion, three hundred twenty-one million, two hundred twenty-one thousand, twenty".