100112120122201 has 16 divisors (see below), whose sum is σ = 111590974107648. Its totient is φ = 89031435475600.

The previous prime is 100112120122163. The next prime is 100112120122207. The reversal of 100112120122201 is 102221021211001.

It is a cyclic number.

It is not a de Polignac number, because 100112120122201 - 2⁷ = 100112120122073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100112120122207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45865195 + ... + 47998336.

It is an arithmetic number, because the mean of its divisors is an integer number (6974435881728).

Almost surely, 2^{100112120122201} is an apocalyptic number.

100112120122201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100112120122201 is a deficient number, since it is larger than the sum of its proper divisors (11478853985447).

100112120122201 is a wasteful number, since it uses less digits than its factorization.

100112120122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93865652.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100112120122201 its reverse (102221021211001), we get a palindrome (202333141333202).

The spelling of 100112120122201 in words is "one hundred trillion, one hundred twelve billion, one hundred twenty million, one hundred twenty-two thousand, two hundred one".