201002012301312 has 144 divisors (see below), whose sum is σ = 605771181353520. Its totient is φ = 64087597989888.

The previous prime is 201002012301283. The next prime is 201002012301313. The reversal of 201002012301312 is 213103210200102.

201002012301312 is a `hidden beast` number, since 2 + 0 + 100 + 20 + 1 + 230 + 1 + 312 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201002012301313) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 236642523 + ... + 237490394.

It is an arithmetic number, because the mean of its divisors is an integer number (4206744314955).

Almost surely, 2^{201002012301312} is an apocalyptic number.

It is an amenable number.

201002012301312 is an abundant number, since it is smaller than the sum of its proper divisors (404769169052208).

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

201002012301312 is a wasteful number, since it uses less digits than its factorization.

201002012301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474132968 (or 474132945 counting only the distinct ones).

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

Adding to 201002012301312 its reverse (213103210200102), we get a palindrome (414105222501414).

The spelling of 201002012301312 in words is "two hundred one trillion, two billion, twelve million, three hundred one thousand, three hundred twelve".