100110000102012 has 48 divisors (see below), whose sum is σ = 259597017378720. Its totient is φ = 33363240690816.

The previous prime is 100110000102011. The next prime is 100110000102041. The reversal of 100110000102012 is 210201000011001.

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 = 100110000101985 and 100110000102003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110000102011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93344103 + ... + 94410494.

It is an arithmetic number, because the mean of its divisors is an integer number (5408271195390).

Almost surely, 2^{100110000102012} is an apocalyptic number.

100110000102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100110000102012 is an abundant number, since it is smaller than the sum of its proper divisors (159487017276708).

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

100110000102012 is a wasteful number, since it uses less digits than its factorization.

100110000102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187759547 (or 187759539 counting only the distinct ones).

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

Adding to 100110000102012 its reverse (210201000011001), we get a palindrome (310311000113013).

The spelling of 100110000102012 in words is "one hundred trillion, one hundred ten billion, one hundred two thousand, twelve".