100001101002112 has 128 divisors (see below), whose sum is σ = 202304968488000. Its totient is φ = 49232240640000.

The previous prime is 100001101002029. The next prime is 100001101002241. The reversal of 100001101002112 is 211200101100001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5868256312 + ... + 5868273352.

Almost surely, 2^{100001101002112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100001101002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101152484244000).

100001101002112 is an abundant number, since it is smaller than the sum of its proper divisors (102303867485888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100001101002112 is a wasteful number, since it uses less digits than its factorization.

100001101002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19636 (or 19624 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100001101002112 its reverse (211200101100001), we get a palindrome (311201202102113).

The spelling of 100001101002112 in words is "one hundred trillion, one billion, one hundred one million, two thousand, one hundred twelve".