100122110111201 has 8 divisors (see below), whose sum is σ = 101873283057600. Its totient is φ = 98372743432560.

The previous prime is 100122110111189. The next prime is 100122110111251. The reversal of 100122110111201 is 102111011221001.

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

It is a cyclic number.

It is not a de Polignac number, because 100122110111201 - 2³⁸ = 99847232204257 is a prime.

It is a super-3 number, since 3×100122110111201³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100122110111251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 451455110 + ... + 451676831.

It is an arithmetic number, because the mean of its divisors is an integer number (12734160382200).

Almost surely, 2^{100122110111201} is an apocalyptic number.

It is an amenable number.

100122110111201 is a deficient number, since it is larger than the sum of its proper divisors (1751172946399).

100122110111201 is an equidigital number, since it uses as much as digits as its factorization.

100122110111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903133879.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100122110111201 its reverse (102111011221001), we get a palindrome (202233121332202).

The spelling of 100122110111201 in words is "one hundred trillion, one hundred twenty-two billion, one hundred ten million, one hundred eleven thousand, two hundred one".