110002122120000 has 560 divisors, whose sum is σ = 396945478936512. Its totient is φ = 26654423040000.

The previous prime is 110002122119971. The next prime is 110002122120031. The reversal of 110002122120000 is 21221200011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2921141172 + ... + 2921178828.

Almost surely, 2^{110002122120000} is an apocalyptic number.

110002122120000 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 110002122120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198472739468256).

110002122120000 is an abundant number, since it is smaller than the sum of its proper divisors (286943356816512).

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

110002122120000 is a wasteful number, since it uses less digits than its factorization.

110002122120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39916 (or 39891 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110002122120000 its reverse (21221200011), we get a palindrome (110023343320011).

It can be divided in two parts, 1 and 10002122120000, that added together give a palindrome (10002122120001).

The spelling of 110002122120000 in words is "one hundred ten trillion, two billion, one hundred twenty-two million, one hundred twenty thousand".