201013221100320 has 144 divisors (see below), whose sum is σ = 685961341752960. Its totient is φ = 53603234560512.

The previous prime is 201013221100297. The next prime is 201013221100339. The reversal of 201013221100320 is 23001122310102.

201013221100320 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 132 + 211 + 0 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×201013221100320² (a number of 29 digits) contains 22 as substring.

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 = 201013221100293 and 201013221100302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 453964791 + ... + 454407369.

It is an arithmetic number, because the mean of its divisors is an integer number (4763620428840).

Almost surely, 2^{201013221100320} is an apocalyptic number.

201013221100320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201013221100320 is an abundant number, since it is smaller than the sum of its proper divisors (484948120652640).

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

201013221100320 is a wasteful number, since it uses less digits than its factorization.

201013221100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758007 (or 757996 counting only the distinct ones).

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

Adding to 201013221100320 its reverse (23001122310102), we get a palindrome (224014343410422).

The spelling of 201013221100320 in words is "two hundred one trillion, thirteen billion, two hundred twenty-one million, one hundred thousand, three hundred twenty".