201121012112020 has 192 divisors, whose sum is σ = 567099209779200. Its totient is φ = 57862706711040.

The previous prime is 201121012111991. The next prime is 201121012112063. The reversal of 201121012112020 is 20211210121102.

It is a junction number, because it is equal to n+sod(n) for n = 201121012111985 and 201121012112003.

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, 545540911 + ... + 545909449.

It is an arithmetic number, because the mean of its divisors is an integer number (2953641717600).

Almost surely, 2^{201121012112020} is an apocalyptic number.

201121012112020 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 201121012112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283549604889600).

201121012112020 is an abundant number, since it is smaller than the sum of its proper divisors (365978197667180).

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

201121012112020 is a wasteful number, since it uses less digits than its factorization.

201121012112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395838 (or 395836 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201121012112020 its reverse (20211210121102), we get a palindrome (221332222233122).

The spelling of 201121012112020 in words is "two hundred one trillion, one hundred twenty-one billion, twelve million, one hundred twelve thousand, twenty".