201121331200020 has 288 divisors, whose sum is σ = 785139931570176. Its totient is φ = 40443334214400.

The previous prime is 201121331200003. The next prime is 201121331200033. The reversal of 201121331200020 is 20002133121102.

201121331200020 is a `hidden beast` number, since 2 + 0 + 112 + 1 + 331 + 200 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201121331199966 and 201121331200002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 233617414 + ... + 234476733.

It is an arithmetic number, because the mean of its divisors is an integer number (2726180317952).

Almost surely, 2^{201121331200020} is an apocalyptic number.

201121331200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201121331200020 is an abundant number, since it is smaller than the sum of its proper divisors (584018600370156).

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

201121331200020 is a wasteful number, since it uses less digits than its factorization.

201121331200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468094211 (or 468094206 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201121331200020 its reverse (20002133121102), we get a palindrome (221123464321122).

It can be divided in two parts, 2011213 and 31200020, that added together give a palindrome (33211233).

The spelling of 201121331200020 in words is "two hundred one trillion, one hundred twenty-one billion, three hundred thirty-one million, two hundred thousand, twenty".