101200333120 has 28 divisors (see below), whose sum is σ = 240983294004. Its totient is φ = 40480133120.

The previous prime is 101200333051. The next prime is 101200333123. The reversal of 101200333120 is 21333002101.

101200333120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 55612958976 + 45587374144 = 235824^2 + 213512^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101200333094 and 101200333103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200333123) 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, 158125201 + ... + 158125840.

Almost surely, 2^101200333120 is an apocalyptic number.

101200333120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200333120 is an abundant number, since it is smaller than the sum of its proper divisors (139782960884).

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

101200333120 is an equidigital number, since it uses as much as digits as its factorization.

101200333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316251058 (or 316251048 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 101200333120 its reverse (21333002101), we get a palindrome (122533335221).

The spelling of 101200333120 in words is "one hundred one billion, two hundred million, three hundred thirty-three thousand, one hundred twenty".