100101101121121 has 8 divisors (see below), whose sum is σ = 100924686470144. Its totient is φ = 99278068705200.

The previous prime is 100101101121089. The next prime is 100101101121157. The reversal of 100101101121121 is 121121101101001.

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 100101101121121 - 2⁵ = 100101101121089 is a prime.

It is a super-2 number, since 2×100101101121121² (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 (100101101121221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137869710 + ... + 138593863.

It is an arithmetic number, because the mean of its divisors is an integer number (12615585808768).

Almost surely, 2^{100101101121121} is an apocalyptic number.

It is an amenable number.

100101101121121 is a deficient number, since it is larger than the sum of its proper divisors (823585349023).

100101101121121 is a wasteful number, since it uses less digits than its factorization.

100101101121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276466551.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 100101101121121 its reverse (121121101101001), we get a palindrome (221222202222122).

The spelling of 100101101121121 in words is "one hundred trillion, one hundred one billion, one hundred one million, one hundred twenty-one thousand, one hundred twenty-one".