114201000 has 96 divisors (see below), whose sum is σ = 386029800. Its totient is φ = 30451200.

The previous prime is 114200969. The next prime is 114201011. The reversal of 114201000 is 102411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13439556 + 100761444 = 3666^2 + 10038^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2656 + ... + 15344.

Almost surely, 2^114201000 is an apocalyptic number.

114201000 is a gapful number since it is divisible by the number (10) 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 114201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193014900).

114201000 is an abundant number, since it is smaller than the sum of its proper divisors (271828800).

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

114201000 is a wasteful number, since it uses less digits than its factorization.

114201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12716 (or 12699 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 114201000 is about 10686.4867940778. The cubic root of 114201000 is about 485.1655650424.

Adding to 114201000 its reverse (102411), we get a palindrome (114303411).

The spelling of 114201000 in words is "one hundred fourteen million, two hundred one thousand".