100112101120001 has 4 divisors (see below), whose sum is σ = 100112263742400. Its totient is φ = 100111938497604.

The previous prime is 100112101119983. The next prime is 100112101120033. The reversal of 100112101120001 is 100021101211001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100112101120001 - 2³⁰ = 100111027378177 is a prime.

It is a super-2 number, since 2×100112101120001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100112101180001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80384261 + ... + 81620178.

It is an arithmetic number, because the mean of its divisors is an integer number (25028065935600).

Almost surely, 2^{100112101120001} is an apocalyptic number.

It is an amenable number.

100112101120001 is a deficient number, since it is larger than the sum of its proper divisors (162622399).

100112101120001 is an equidigital number, since it uses as much as digits as its factorization.

100112101120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162622398.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100112101120001 its reverse (100021101211001), we get a palindrome (200133202331002).

The spelling of 100112101120001 in words is "one hundred trillion, one hundred twelve billion, one hundred one million, one hundred twenty thousand, one".