211021011100020 has 192 divisors, whose sum is σ = 655536855859200. Its totient is φ = 50286585085440.

The previous prime is 211021011100019. The next prime is 211021011100147. The reversal of 211021011100020 is 20001110120112.

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 = 211021011099969 and 211021011100005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 700341037 + ... + 700642283.

It is an arithmetic number, because the mean of its divisors is an integer number (3414254457600).

Almost surely, 2^{211021011100020} is an apocalyptic number.

211021011100020 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 211021011100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327768427929600).

211021011100020 is an abundant number, since it is smaller than the sum of its proper divisors (444515844759180).

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

211021011100020 is a wasteful number, since it uses less digits than its factorization.

211021011100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319318 (or 319316 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211021011100020 its reverse (20001110120112), we get a palindrome (231022121220132).

The spelling of 211021011100020 in words is "two hundred eleven trillion, twenty-one billion, eleven million, one hundred thousand, twenty".