201121120020020 has 48 divisors (see below), whose sum is σ = 436939397462736. Its totient is φ = 77709198720000.

The previous prime is 201121120019951. The next prime is 201121120020047. The reversal of 201121120020020 is 20020021121102.

It can be written as a sum of positive squares in 8 ways, for example, as 8506858889104 + 192614261130916 = 2916652^2 + 13878554^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201121120019977 and 201121120020004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1214123411 + ... + 1214289050.

It is an arithmetic number, because the mean of its divisors is an integer number (9102904113807).

Almost surely, 2^{201121120020020} is an apocalyptic number.

201121120020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201121120020020 is an abundant number, since it is smaller than the sum of its proper divisors (235818277442716).

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

201121120020020 is a wasteful number, since it uses less digits than its factorization.

201121120020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428412612 (or 2428412610 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201121120020020 its reverse (20020021121102), we get a palindrome (221141141141122).

The spelling of 201121120020020 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred twenty million, twenty thousand, twenty".