201027138000 has 320 divisors, whose sum is σ = 698852603904. Its totient is φ = 49420800000.

The previous prime is 201027137963. The next prime is 201027138071. The reversal of 201027138000 is 831720102.

201027138000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 103037025 + ... + 103038975.

Almost surely, 2^201027138000 is an apocalyptic number.

201027138000 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 201027138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349426301952).

201027138000 is an abundant number, since it is smaller than the sum of its proper divisors (497825465904).

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

201027138000 is a wasteful number, since it uses less digits than its factorization.

201027138000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

Adding to 201027138000 its reverse (831720102), we get a palindrome (201858858102).

The spelling of 201027138000 in words is "two hundred one billion, twenty-seven million, one hundred thirty-eight thousand".