201221121021120 has 84 divisors (see below), whose sum is σ = 692116814188800. Its totient is φ = 53658965604864.

The previous prime is 201221121021103. The next prime is 201221121021199. The reversal of 201221121021120 is 21120121122102.

201221121021120 is a `hidden beast` number, since 2 + 0 + 1 + 221 + 1 + 210 + 211 + 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 = 201221121021093 and 201221121021102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34934219520 + ... + 34934225279.

It is an arithmetic number, because the mean of its divisors is an integer number (8239485883200).

Almost surely, 2^{201221121021120} is an apocalyptic number.

201221121021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221121021120 is an abundant number, since it is smaller than the sum of its proper divisors (490895693167680).

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

201221121021120 is a wasteful number, since it uses less digits than its factorization.

201221121021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69868444822 (or 69868444809 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201221121021120 its reverse (21120121122102), we get a palindrome (222341242143222).

The spelling of 201221121021120 in words is "two hundred one trillion, two hundred twenty-one billion, one hundred twenty-one million, twenty-one thousand, one hundred twenty".