201102000 has 240 divisors, whose sum is σ = 715225056. Its totient is φ = 48576000.

The previous prime is 201101987. The next prime is 201102001. The reversal of 201102000 is 201102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 201102000.

It is not an unprimeable number, because it can be changed into a prime (201102001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 725862 + ... + 726138.

Almost surely, 2^201102000 is an apocalyptic number.

201102000 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 201102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357612528).

201102000 is an abundant number, since it is smaller than the sum of its proper divisors (514123056).

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

201102000 is a wasteful number, since it uses less digits than its factorization.

201102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 201102000 is about 14181.0436851453. The cubic root of 201102000 is about 585.8756700980.

Adding to 201102000 its reverse (201102), we get a palindrome (201303102).

201102000 divided by its reverse (201102) gives a cube (1000 = 10³).

It can be divided in two parts, 201 and 102000, that added together give a palindrome (102201).

The spelling of 201102000 in words is "two hundred one million, one hundred two thousand".