100101201122112 has 56 divisors (see below), whose sum is σ = 276366359631936. Its totient is φ = 31916324994048.

The previous prime is 100101201122099. The next prime is 100101201122119. The reversal of 100101201122112 is 211221102101001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100101201122091 and 100101201122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101201122119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11333917813 + ... + 11333926644.

It is an arithmetic number, because the mean of its divisors is an integer number (4935113564856).

Almost surely, 2^{100101201122112} is an apocalyptic number.

100101201122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100101201122112 is an abundant number, since it is smaller than the sum of its proper divisors (176265158509824).

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

100101201122112 is a wasteful number, since it uses less digits than its factorization.

100101201122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22667844495 (or 22667844485 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100101201122112 its reverse (211221102101001), we get a palindrome (311322303223113).

The spelling of 100101201122112 in words is "one hundred trillion, one hundred one billion, two hundred one million, one hundred twenty-two thousand, one hundred twelve".