110010122011200 has 168 divisors, whose sum is σ = 362473912783008. Its totient is φ = 29210126520320.

The previous prime is 110010122011183. The next prime is 110010122011219. The reversal of 110010122011200 is 2110221010011.

It is a super-3 number, since 3×110010122011200³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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, 48063522 + ... + 50300321.

Almost surely, 2^{110010122011200} is an apocalyptic number.

110010122011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110010122011200 is an abundant number, since it is smaller than the sum of its proper divisors (252463790771808).

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

110010122011200 is a wasteful number, since it uses less digits than its factorization.

110010122011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98364101 (or 98364086 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110010122011200 its reverse (2110221010011), we get a palindrome (112120343021211).

The spelling of 110010122011200 in words is "one hundred ten trillion, ten billion, one hundred twenty-two million, eleven thousand, two hundred".