110202022100000 has 144 divisors (see below), whose sum is σ = 275230455123456. Its totient is φ = 43422883680000.

The previous prime is 110202022099921. The next prime is 110202022100057. The reversal of 110202022100000 is 1220202011.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1524032 + ... + 14924031.

It is an arithmetic number, because the mean of its divisors is an integer number (1911322605024).

Almost surely, 2^{110202022100000} is an apocalyptic number.

110202022100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110202022100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137615227561728).

110202022100000 is an abundant number, since it is smaller than the sum of its proper divisors (165028433023456).

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

110202022100000 is an frugal number, since it uses more digits than its factorization.

110202022100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16448165 (or 16448137 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 110202022100000 its reverse (1220202011), we get a palindrome (110203242302011).

The spelling of 110202022100000 in words is "one hundred ten trillion, two hundred two billion, twenty-two million, one hundred thousand".