20101112000121 has 8 divisors (see below), whose sum is σ = 26877407548320. Its totient is φ = 13362778892672.

The previous prime is 20101112000093. The next prime is 20101112000159. The reversal of 20101112000121 is 12100021110102.

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 20101112000121 - 2⁷ = 20101111999993 is a prime.

It is a super-3 number, since 3×20101112000121³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20101112000097 and 20101112000106.

It is not an unprimeable number, because it can be changed into a prime (20101112001121) 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, 9490608951 + ... + 9490611068.

It is an arithmetic number, because the mean of its divisors is an integer number (3359675943540).

Almost surely, 2^{20101112000121} is an apocalyptic number.

It is an amenable number.

20101112000121 is a deficient number, since it is larger than the sum of its proper divisors (6776295548199).

20101112000121 is a wasteful number, since it uses less digits than its factorization.

20101112000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18981220375.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20101112000121 its reverse (12100021110102), we get a palindrome (32201133110223).

The spelling of 20101112000121 in words is "twenty trillion, one hundred one billion, one hundred twelve million, one hundred twenty-one", and thus it is an aban number.