100002101112 has 96 divisors (see below), whose sum is σ = 289727474400. Its totient is φ = 31049736192.

The previous prime is 100002101041. The next prime is 100002101179. The reversal of 100002101112 is 211101200001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100002101094 and 100002101103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302412 + ... + 539867.

It is an arithmetic number, because the mean of its divisors is an integer number (3017994525).

Almost surely, 2^100002101112 is an apocalyptic number.

100002101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100002101112 is an abundant number, since it is smaller than the sum of its proper divisors (189725373288).

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

100002101112 is a wasteful number, since it uses less digits than its factorization.

100002101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842405 (or 842398 counting only the distinct ones).

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

Adding to 100002101112 its reverse (211101200001), we get a palindrome (311103301113).

It can be divided in two parts, 10000 and 2101112, that added together give a palindrome (2111112).

The spelling of 100002101112 in words is "one hundred billion, two million, one hundred one thousand, one hundred twelve".