211121020000020 has 384 divisors, whose sum is σ = 676543166208000. Its totient is φ = 48761170864128.

The previous prime is 211121020000003. The next prime is 211121020000049. The reversal of 211121020000020 is 20000020121112.

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 = 211121019999960 and 211121020000005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7733640331 + ... + 7733667629.

It is an arithmetic number, because the mean of its divisors is an integer number (1761831162000).

Almost surely, 2^{211121020000020} is an apocalyptic number.

211121020000020 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 211121020000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338271583104000).

211121020000020 is an abundant number, since it is smaller than the sum of its proper divisors (465422146207980).

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

211121020000020 is a wasteful number, since it uses less digits than its factorization.

211121020000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32327 (or 32325 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211121020000020 its reverse (20000020121112), we get a palindrome (231121040121132).

The spelling of 211121020000020 in words is "two hundred eleven trillion, one hundred twenty-one billion, twenty million, twenty", and thus it is an aban number.