100002112197 has 32 divisors (see below), whose sum is σ = 156026142720. Its totient is φ = 56420141760.

The previous prime is 100002112169. The next prime is 100002112207. The reversal of 100002112197 is 791211200001.

It is not a de Polignac number, because 100002112197 - 2¹⁰ = 100002111173 is a prime.

It is a super-2 number, since 2×100002112197² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002112157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2153733 + ... + 2199674.

It is an arithmetic number, because the mean of its divisors is an integer number (4875816960).

Almost surely, 2^100002112197 is an apocalyptic number.

It is an amenable number.

100002112197 is a deficient number, since it is larger than the sum of its proper divisors (56024030523).

100002112197 is a wasteful number, since it uses less digits than its factorization.

100002112197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4353473.

The product of its (nonzero) digits is 252, while the sum is 24.

Adding to 100002112197 its reverse (791211200001), we get a palindrome (891213312198).

The spelling of 100002112197 in words is "one hundred billion, two million, one hundred twelve thousand, one hundred ninety-seven".