110021221201200 has 120 divisors (see below), whose sum is σ = 352564274918400. Its totient is φ = 29328201089280.

The previous prime is 110021221201163. The next prime is 110021221201217. The reversal of 110021221201200 is 2102122120011.

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

It is a super-2 number, since 2×110021221201200² (a number of 29 digits) contains 22 as substring.

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 110021221201200.

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, 13597140 + ... + 20122739.

It is an arithmetic number, because the mean of its divisors is an integer number (2938035624320).

Almost surely, 2^{110021221201200} is an apocalyptic number.

110021221201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110021221201200 is an abundant number, since it is smaller than the sum of its proper divisors (242543053717200).

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

110021221201200 is a wasteful number, since it uses less digits than its factorization.

110021221201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33722619 (or 33722608 counting only the distinct ones).

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

Adding to 110021221201200 its reverse (2102122120011), we get a palindrome (112123343321211).

The spelling of 110021221201200 in words is "one hundred ten trillion, twenty-one billion, two hundred twenty-one million, two hundred one thousand, two hundred".