201021004314 has 80 divisors (see below), whose sum is σ = 494237692872. Its totient is φ = 60685552512.

The previous prime is 201021004307. The next prime is 201021004339. The reversal of 201021004314 is 413400120102.

201021004314 is a `hidden beast` number, since 20 + 1 + 0 + 210 + 0 + 431 + 4 = 666.

201021004314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 199634708025 + 1386296289 = 446805^2 + 37233^2 .

It is a super-3 number, since 3×201021004314³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 788869 + ... + 1012104.

Almost surely, 2^201021004314 is an apocalyptic number.

201021004314 is an abundant number, since it is smaller than the sum of its proper divisors (293216688558).

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

201021004314 is a wasteful number, since it uses less digits than its factorization.

201021004314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801053 (or 1801044 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201021004314 its reverse (413400120102), we get a palindrome (614421124416).

The spelling of 201021004314 in words is "two hundred one billion, twenty-one million, four thousand, three hundred fourteen".