201102221001120 has 48 divisors (see below), whose sum is σ = 633471996155040. Its totient is φ = 53627258933504.

The previous prime is 201102221001103. The next prime is 201102221001173. The reversal of 201102221001120 is 21100122201102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201102221001120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209481479730 + ... + 209481480689.

It is an arithmetic number, because the mean of its divisors is an integer number (13197333253230).

Almost surely, 2^{201102221001120} is an apocalyptic number.

201102221001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201102221001120 is an abundant number, since it is smaller than the sum of its proper divisors (432369775153920).

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

201102221001120 is a wasteful number, since it uses less digits than its factorization.

201102221001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418962960437 (or 418962960429 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201102221001120 its reverse (21100122201102), we get a palindrome (222202343202222).

The spelling of 201102221001120 in words is "two hundred one trillion, one hundred two billion, two hundred twenty-one million, one thousand, one hundred twenty".