201133011202002 has 144 divisors (see below), whose sum is σ = 479055136865760. Its totient is φ = 60484958640000.

The previous prime is 201133011201979. The next prime is 201133011202031. The reversal of 201133011202002 is 200202110331102.

201133011202002 is a `hidden beast` number, since 2 + 0 + 11 + 330 + 1 + 120 + 200 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4600353502 + ... + 4600397222.

It is an arithmetic number, because the mean of its divisors is an integer number (3326771783790).

Almost surely, 2^{201133011202002} is an apocalyptic number.

201133011202002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201133011202002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239527568432880).

201133011202002 is an abundant number, since it is smaller than the sum of its proper divisors (277922125663758).

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

201133011202002 is a wasteful number, since it uses less digits than its factorization.

201133011202002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45061 (or 44907 counting only the distinct ones).

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

Adding to 201133011202002 its reverse (200202110331102), we get a palindrome (401335121533104).

The spelling of 201133011202002 in words is "two hundred one trillion, one hundred thirty-three billion, eleven million, two hundred two thousand, two".