100011112122112 has 36 divisors (see below), whose sum is σ = 201608105947416. Its totient is φ = 49510451532800.

The previous prime is 100011112122079. The next prime is 100011112122203. The reversal of 100011112122112 is 211221211110001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1933976158 + ... + 1934027869.

It is an arithmetic number, because the mean of its divisors is an integer number (5600225165206).

Almost surely, 2^{100011112122112} is an apocalyptic number.

It is an amenable number.

100011112122112 is an abundant number, since it is smaller than the sum of its proper divisors (101596993825304).

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

100011112122112 is an equidigital number, since it uses as much as digits as its factorization.

100011112122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3868004144 (or 3868004130 counting only the distinct ones).

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

Adding to 100011112122112 its reverse (211221211110001), we get a palindrome (311232323232113).

The spelling of 100011112122112 in words is "one hundred trillion, eleven billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twelve".