110201122000101 has 24 divisors (see below), whose sum is σ = 163452744574560. Its totient is φ = 65983877338720.

The previous prime is 110201122000093. The next prime is 110201122000171. The reversal of 110201122000101 is 101000221102011.

It is not a de Polignac number, because 110201122000101 - 2³ = 110201122000093 is a prime.

It is a super-2 number, since 2×110201122000101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110201122000171) 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 23 ways as a sum of consecutive naturals, for example, 1828791306 + ... + 1828851563.

It is an arithmetic number, because the mean of its divisors is an integer number (6810531023940).

Almost surely, 2^{110201122000101} is an apocalyptic number.

110201122000101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110201122000101 is a deficient number, since it is larger than the sum of its proper divisors (53251622574459).

110201122000101 is a wasteful number, since it uses less digits than its factorization.

110201122000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3657642977 (or 3657642966 counting only the distinct ones).

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

Adding to 110201122000101 its reverse (101000221102011), we get a palindrome (211201343102112).

The spelling of 110201122000101 in words is "one hundred ten trillion, two hundred one billion, one hundred twenty-two million, one hundred one", and thus it is an aban number.