201202101200000 has 192 divisors, whose sum is σ = 501277962407040. Its totient is φ = 80437526400000.

The previous prime is 201202101199993. The next prime is 201202101200039. The reversal of 201202101200000 is 2101202102.

It is a happy number.

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, 748265579 + ... + 748534421.

It is an arithmetic number, because the mean of its divisors is an integer number (2610822720870).

Almost surely, 2^{201202101200000} is an apocalyptic number.

201202101200000 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 201202101200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250638981203520).

201202101200000 is an abundant number, since it is smaller than the sum of its proper divisors (300075861207040).

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

201202101200000 is an frugal number, since it uses more digits than its factorization.

201202101200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270753 (or 270721 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201202101200000 its reverse (2101202102), we get a palindrome (201204202402102).

The spelling of 201202101200000 in words is "two hundred one trillion, two hundred two billion, one hundred one million, two hundred thousand".