101001112000121 has 8 divisors (see below), whose sum is σ = 101219486718720. Its totient is φ = 100782768601008.

The previous prime is 101001112000081. The next prime is 101001112000123. The reversal of 101001112000121 is 121000211100101.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101001112000121 is a prime.

It is a super-3 number, since 3×101001112000121³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101001112000123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1367411 + ... + 14278376.

It is an arithmetic number, because the mean of its divisors is an integer number (12652435839840).

Almost surely, 2^{101001112000121} is an apocalyptic number.

It is an amenable number.

101001112000121 is a deficient number, since it is larger than the sum of its proper divisors (218374718599).

101001112000121 is a wasteful number, since it uses less digits than its factorization.

101001112000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15659743.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101001112000121 its reverse (121000211100101), we get a palindrome (222001323100222).

The spelling of 101001112000121 in words is "one hundred one trillion, one billion, one hundred twelve million, one hundred twenty-one", and thus it is an aban number.