100122112022001 has 8 divisors (see below), whose sum is σ = 134996106097440. Its totient is φ = 65998096313952.

The previous prime is 100122112021889. The next prime is 100122112022003. The reversal of 100122112022001 is 100220211221001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100122112022001 - 2³⁰ = 100121038280177 is a prime.

It is a super-2 number, since 2×100122112022001² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100122112022003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187494591535 + ... + 187494592068.

It is an arithmetic number, because the mean of its divisors is an integer number (16874513262180).

Almost surely, 2^{100122112022001} is an apocalyptic number.

It is an amenable number.

100122112022001 is a deficient number, since it is larger than the sum of its proper divisors (34873994075439).

100122112022001 is an equidigital number, since it uses as much as digits as its factorization.

100122112022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374989183695.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100122112022001 its reverse (100220211221001), we get a palindrome (200342323243002).

The spelling of 100122112022001 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twelve million, twenty-two thousand, one".