101200331 has 4 divisors (see below), whose sum is σ = 101997312. Its totient is φ = 100403352.

The previous prime is 101200313. The next prime is 101200349. The reversal of 101200331 is 133002101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 133002101 = 17 ⋅7823653.

It is an interprime number because it is at equal distance from previous prime (101200313) and next prime (101200349).

It is a cyclic number.

It is not a de Polignac number, because 101200331 - 2¹⁴ = 101183947 is a prime.

It is a super-2 number, since 2×101200331² = 20483013989019122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101200381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 398300 + ... + 398553.

It is an arithmetic number, because the mean of its divisors is an integer number (25499328).

Almost surely, 2^101200331 is an apocalyptic number.

101200331 is a deficient number, since it is larger than the sum of its proper divisors (796981).

101200331 is an equidigital number, since it uses as much as digits as its factorization.

101200331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796980.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 101200331 is about 10059.8375235388. The cubic root of 101200331 is about 466.0086495352.

Adding to 101200331 its reverse (133002101), we get a palindrome (234202432).

The spelling of 101200331 in words is "one hundred one million, two hundred thousand, three hundred thirty-one".