100200100113 has 14 divisors (see below), whose sum is σ = 150231426914. Its totient is φ = 66800066256.

The previous prime is 100200100067. The next prime is 100200100123. The reversal of 100200100113 is 311001002001.

It can be written as a sum of positive squares in only one way, i.e., 100065934224 + 134165889 = 316332^2 + 11583^2 .

It is not a de Polignac number, because 100200100113 - 2¹⁷ = 100199969041 is a prime.

It is a super-2 number, since 2×100200100113² (a number of 23 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100200100095 and 100200100104.

It is not an unprimeable number, because it can be changed into a prime (100200100123) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 68723620 + ... + 68725077.

Almost surely, 2^100200100113 is an apocalyptic number.

It is an amenable number.

100200100113 is a deficient number, since it is larger than the sum of its proper divisors (50031326801).

100200100113 is an frugal number, since it uses more digits than its factorization.

100200100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137448715 (or 137448700 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100200100113 its reverse (311001002001), we get a palindrome (411201102114).

The spelling of 100200100113 in words is "one hundred billion, two hundred million, one hundred thousand, one hundred thirteen".