211121101200020 has 192 divisors, whose sum is σ = 502544289139200. Its totient is φ = 73827726336000.

The previous prime is 211121101200001. The next prime is 211121101200131. The reversal of 211121101200020 is 20002101121112.

It is a junction number, because it is equal to n+sod(n) for n = 211121101199968 and 211121101200004.

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, 3130979666 + ... + 3131047094.

It is an arithmetic number, because the mean of its divisors is an integer number (2617418172600).

Almost surely, 2^{211121101200020} is an apocalyptic number.

211121101200020 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 211121101200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251272144569600).

211121101200020 is an abundant number, since it is smaller than the sum of its proper divisors (291423187939180).

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

211121101200020 is a wasteful number, since it uses less digits than its factorization.

211121101200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72450 (or 72448 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211121101200020 its reverse (20002101121112), we get a palindrome (231123202321132).

The spelling of 211121101200020 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred one million, two hundred thousand, twenty".