100002112101 has 6 divisors (see below), whose sum is σ = 144447495270. Its totient is φ = 66668074728.

The previous prime is 100002112099. The next prime is 100002112103. The reversal of 100002112101 is 101211200001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100002112099) and next prime (100002112103).

It can be written as a sum of positive squares in only one way, i.e., 99925532100 + 76580001 = 316110^2 + 8751^2 .

It is not a de Polignac number, because 100002112101 - 2¹ = 100002112099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11111345789 = 100002112101 / (1 + 0 + 0 + 0 + 0 + 2 + 1 + 1 + 2 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002112103) 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 5 ways as a sum of consecutive naturals, for example, 5555672886 + ... + 5555672903.

It is an arithmetic number, because the mean of its divisors is an integer number (24074582545).

Almost surely, 2^100002112101 is an apocalyptic number.

It is an amenable number.

100002112101 is a deficient number, since it is larger than the sum of its proper divisors (44445383169).

100002112101 is a wasteful number, since it uses less digits than its factorization.

100002112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11111345795 (or 11111345792 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100002112101 its reverse (101211200001), we get a palindrome (201213312102).

The spelling of 100002112101 in words is "one hundred billion, two million, one hundred twelve thousand, one hundred one".