100120000122001 has 4 divisors (see below), whose sum is σ = 100128007812672. Its totient is φ = 100111992431332.

The previous prime is 100120000121983. The next prime is 100120000122017. The reversal of 100120000122001 is 100221000021001.

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 100120000122001 - 2¹⁷ = 100119999990929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100120000122031) 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, 4003826581 + ... + 4003851586.

It is an arithmetic number, because the mean of its divisors is an integer number (25032001953168).

Almost surely, 2^{100120000122001} is an apocalyptic number.

It is an amenable number.

100120000122001 is a deficient number, since it is larger than the sum of its proper divisors (8007690671).

100120000122001 is an equidigital number, since it uses as much as digits as its factorization.

100120000122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8007690670.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100120000122001 its reverse (100221000021001), we get a palindrome (200341000143002).

It can be divided in two parts, 100120000 and 122001, that added together give a palindrome (100242001).

The spelling of 100120000122001 in words is "one hundred trillion, one hundred twenty billion, one hundred twenty-two thousand, one".