201103302120000 has 560 divisors, whose sum is σ = 766604318992512. Its totient is φ = 45559664640000.

The previous prime is 201103302119987. The next prime is 201103302120031. The reversal of 201103302120000 is 21203301102.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 93860670 + ... + 95979330.

Almost surely, 2^{201103302120000} is an apocalyptic number.

201103302120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201103302120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383302159496256).

201103302120000 is an abundant number, since it is smaller than the sum of its proper divisors (565501016872512).

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

201103302120000 is a wasteful number, since it uses less digits than its factorization.

201103302120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118816 (or 2118791 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 201103302120000 its reverse (21203301102), we get a palindrome (201124505421102).

The spelling of 201103302120000 in words is "two hundred one trillion, one hundred three billion, three hundred two million, one hundred twenty thousand".