100002200100012 has 144 divisors (see below), whose sum is σ = 296391706490880. Its totient is φ = 27839220079104.

The previous prime is 100002200099929. The next prime is 100002200100013. The reversal of 100002200100012 is 210001002200001.

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 = 100002200099967 and 100002200100003.

It is not an unprimeable number, because it can be changed into a prime (100002200100013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28080988 + ... + 31441155.

It is an arithmetic number, because the mean of its divisors is an integer number (2058275739520).

Almost surely, 2^{100002200100012} is an apocalyptic number.

100002200100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100002200100012 is an abundant number, since it is smaller than the sum of its proper divisors (196389506390868).

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

100002200100012 is a wasteful number, since it uses less digits than its factorization.

100002200100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59522332 (or 59522327 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100002200100012 its reverse (210001002200001), we get a palindrome (310003202300013).

The spelling of 100002200100012 in words is "one hundred trillion, two billion, two hundred million, one hundred thousand, twelve".