100002112000101 has 6 divisors (see below), whose sum is σ = 144447495111270. Its totient is φ = 66668074666728.

The previous prime is 100002112000069. The next prime is 100002112000121. The reversal of 100002112000101 is 101000211200001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 99352072937601 + 650039062500 = 9967551^2 + 806250^2 .

It is not a de Polignac number, because 100002112000101 - 2⁵ = 100002112000069 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: 11111345777789 = 100002112000101 / (1 + 0 + 0 + 0 + 0 + 2 + 1 + 1 + 2 + 0 + 0 + 0 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002112000121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5555672888886 + ... + 5555672888903.

It is an arithmetic number, because the mean of its divisors is an integer number (24074582518545).

Almost surely, 2^{100002112000101} is an apocalyptic number.

It is an amenable number.

100002112000101 is a deficient number, since it is larger than the sum of its proper divisors (44445383111169).

100002112000101 is a wasteful number, since it uses less digits than its factorization.

100002112000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11111345777795 (or 11111345777792 counting only the distinct ones).

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

Adding to 100002112000101 its reverse (101000211200001), we get a palindrome (201002323200102).

The spelling of 100002112000101 in words is "one hundred trillion, two billion, one hundred twelve million, one hundred one", and thus it is an aban number.