100200120113 has 8 divisors (see below), whose sum is σ = 102161865960. Its totient is φ = 98257328640.

The previous prime is 100200120107. The next prime is 100200120133. The reversal of 100200120113 is 311021002001.

It can be written as a sum of positive squares in 4 ways, for example, as 14029691809 + 86170428304 = 118447^2 + 293548^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100200120113 - 2²⁰ = 100199071537 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100200120094 and 100200120103.

It is not an unprimeable number, because it can be changed into a prime (100200120133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4727918 + ... + 4749063.

It is an arithmetic number, because the mean of its divisors is an integer number (12770233245).

Almost surely, 2^100200120113 is an apocalyptic number.

It is an amenable number.

100200120113 is a deficient number, since it is larger than the sum of its proper divisors (1961745847).

100200120113 is an equidigital number, since it uses as much as digits as its factorization.

100200120113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9477187.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100200120113 its reverse (311021002001), we get a palindrome (411221122114).

The spelling of 100200120113 in words is "one hundred billion, two hundred million, one hundred twenty thousand, one hundred thirteen".