201020202121120 has 48 divisors (see below), whose sum is σ = 474928166107080. Its totient is φ = 80405043625984.

The previous prime is 201020202121117. The next prime is 201020202121121. The reversal of 201020202121120 is 21121202020102.

It is a happy number.

201020202121120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 127868240557456 + 73151961563664 = 11307884^2 + 8552892^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 201020202121094 and 201020202121103.

It is not an unprimeable number, because it can be changed into a prime (201020202121121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19476817 + ... + 27953296.

Almost surely, 2^{201020202121120} is an apocalyptic number.

201020202121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201020202121120 is an abundant number, since it is smaller than the sum of its proper divisors (273907963985960).

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

201020202121120 is a wasteful number, since it uses less digits than its factorization.

201020202121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47456617 (or 47456609 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201020202121120 its reverse (21121202020102), we get a palindrome (222141404141222).

The spelling of 201020202121120 in words is "two hundred one trillion, twenty billion, two hundred two million, one hundred twenty-one thousand, one hundred twenty".