201014000 has 80 divisors (see below), whose sum is σ = 530296416. Its totient is φ = 73088000.

The previous prime is 201013991. The next prime is 201014071. The reversal of 201014000 is 410102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17432 + ... + 26568.

Almost surely, 2^201014000 is an apocalyptic number.

201014000 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 201014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265148208).

201014000 is an abundant number, since it is smaller than the sum of its proper divisors (329282416).

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

201014000 is a wasteful number, since it uses less digits than its factorization.

201014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9171 (or 9155 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 201014000 is about 14177.9406120917. The cubic root of 201014000 is about 585.7902000694.

Adding to 201014000 its reverse (410102), we get a palindrome (201424102).

The spelling of 201014000 in words is "two hundred one million, fourteen thousand".