100112011122001 has 4 divisors (see below), whose sum is σ = 100112068547172. Its totient is φ = 100111953696832.

The previous prime is 100112011121971. The next prime is 100112011122041. The reversal of 100112011122001 is 100221110211001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 31715819622400 + 68396191499601 = 5631680^2 + 8270199^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112011122001 - 2⁹ = 100112011121489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100112011122041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26012956 + ... + 29612461.

It is an arithmetic number, because the mean of its divisors is an integer number (25028017136793).

Almost surely, 2^{100112011122001} is an apocalyptic number.

It is an amenable number.

100112011122001 is a deficient number, since it is larger than the sum of its proper divisors (57425171).

100112011122001 is an equidigital number, since it uses as much as digits as its factorization.

100112011122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57425170.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100112011122001 its reverse (100221110211001), we get a palindrome (200333121333002).

The spelling of 100112011122001 in words is "one hundred trillion, one hundred twelve billion, eleven million, one hundred twenty-two thousand, one".