110112221201201 has 16 divisors (see below), whose sum is σ = 114450381427200. Its totient is φ = 105810393322368.

The previous prime is 110112221201183. The next prime is 110112221201231. The reversal of 110112221201201 is 102102122211011.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110112221201201 is a prime.

It is a super-3 number, since 3×110112221201201³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 110112221201201.

It is not an unprimeable number, because it can be changed into a prime (110112221201231) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22115330 + ... + 26632916.

It is an arithmetic number, because the mean of its divisors is an integer number (7153148839200).

Almost surely, 2^{110112221201201} is an apocalyptic number.

It is an amenable number.

110112221201201 is a deficient number, since it is larger than the sum of its proper divisors (4338160225999).

110112221201201 is a wasteful number, since it uses less digits than its factorization.

110112221201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521608.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 110112221201201 its reverse (102102122211011), we get a palindrome (212214343412212).

The spelling of 110112221201201 in words is "one hundred ten trillion, one hundred twelve billion, two hundred twenty-one million, two hundred one thousand, two hundred one".