110002212121200 has 120 divisors (see below), whose sum is σ = 402712860405888. Its totient is φ = 25143362768640.

The previous prime is 110002212121189. The next prime is 110002212121201. The reversal of 110002212121200 is 2121212200011.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110002212121200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110002212121201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6547742322 + ... + 6547759121.

Almost surely, 2^{110002212121200} is an apocalyptic number.

110002212121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110002212121200 is an abundant number, since it is smaller than the sum of its proper divisors (292710648284688).

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

110002212121200 is a wasteful number, since it uses less digits than its factorization.

110002212121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13095501471 (or 13095501460 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 110002212121200 its reverse (2121212200011), we get a palindrome (112123424321211).

The spelling of 110002212121200 in words is "one hundred ten trillion, two billion, two hundred twelve million, one hundred twenty-one thousand, two hundred".