110102011200000 has 1440 divisors, whose sum is σ = 406499476743360. Its totient is φ = 28679270400000.

The previous prime is 110102011199993. The next prime is 110102011200059. The reversal of 110102011200000 is 2110201011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 134107199590 + ... + 134107200410.

It is an arithmetic number, because the mean of its divisors is an integer number (282291303294).

Almost surely, 2^{110102011200000} is an apocalyptic number.

110102011200000 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 110102011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203249738371680).

110102011200000 is an abundant number, since it is smaller than the sum of its proper divisors (296397465543360).

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

110102011200000 is an frugal number, since it uses more digits than its factorization.

110102011200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110102011200000 its reverse (2110201011), we get a palindrome (110104121401011).

The spelling of 110102011200000 in words is "one hundred ten trillion, one hundred two billion, eleven million, two hundred thousand".