201020111221120 has 32 divisors (see below), whose sum is σ = 480563703389520. Its totient is φ = 80408044488192.

The previous prime is 201020111221103. The next prime is 201020111221129. The reversal of 201020111221120 is 21122111020102.

It is a tau number, because it is divible by the number of its divisors (32).

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 = 201020111221094 and 201020111221103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201020111221129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 157046961252 + ... + 157046962531.

Almost surely, 2^{201020111221120} is an apocalyptic number.

201020111221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201020111221120 is an abundant number, since it is smaller than the sum of its proper divisors (279543592168400).

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

201020111221120 is an equidigital number, since it uses as much as digits as its factorization.

201020111221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314093923802 (or 314093923790 counting only the distinct ones).

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

Adding to 201020111221120 its reverse (21122111020102), we get a palindrome (222142222241222).

The spelling of 201020111221120 in words is "two hundred one trillion, twenty billion, one hundred eleven million, two hundred twenty-one thousand, one hundred twenty".