100200002107 has 8 divisors (see below), whose sum is σ = 106103142000. Its totient is φ = 94297864704.

The previous prime is 100200002087. The next prime is 100200002183. The reversal of 100200002107 is 701200002001.

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 100200002107 - 2¹⁵ = 100199969339 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100200002407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39757 + ... + 449422.

It is an arithmetic number, because the mean of its divisors is an integer number (13262892750).

Almost surely, 2^100200002107 is an apocalyptic number.

100200002107 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

100200002107 is a deficient number, since it is larger than the sum of its proper divisors (5903139893).

100200002107 is a wasteful number, since it uses less digits than its factorization.

100200002107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501245.

The product of its (nonzero) digits is 28, while the sum is 13.

Adding to 100200002107 its reverse (701200002001), we get a palindrome (801400004108).

The spelling of 100200002107 in words is "one hundred billion, two hundred million, two thousand, one hundred seven".