101200008 has 64 divisors (see below), whose sum is σ = 311391360. Its totient is φ = 26689536.

The previous prime is 101200007. The next prime is 101200051. The reversal of 101200008 is 800002101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101199966 and 101200002.

It is not an unprimeable number, because it can be changed into a prime (101200007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20985 + ... + 25352.

It is an arithmetic number, because the mean of its divisors is an integer number (4865490).

Almost surely, 2^101200008 is an apocalyptic number.

It is an amenable number.

101200008 is an abundant number, since it is smaller than the sum of its proper divisors (210191352).

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

101200008 is a wasteful number, since it uses less digits than its factorization.

101200008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46366 (or 46362 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 101200008 is about 10059.8214695888. The cubic root of 101200008 is about 466.0081537498.

Adding to 101200008 its reverse (800002101), we get a palindrome (901202109).

The spelling of 101200008 in words is "one hundred one million, two hundred thousand, eight".