201121120020000 has 240 divisors, whose sum is σ = 660658745178432. Its totient is φ = 53555779200000.

The previous prime is 201121120019951. The next prime is 201121120020047. The reversal of 201121120020000 is 20021121102.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39669117 + ... + 44450883.

Almost surely, 2^{201121120020000} is an apocalyptic number.

201121120020000 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 201121120020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330329372589216).

201121120020000 is an abundant number, since it is smaller than the sum of its proper divisors (459537625158432).

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

201121120020000 is an equidigital number, since it uses as much as digits as its factorization.

201121120020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4782501 (or 4782478 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201121120020000 its reverse (20021121102), we get a palindrome (201141141141102).

The spelling of 201121120020000 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred twenty million, twenty thousand".