112001000112121 has 16 divisors (see below), whose sum is σ = 117529528089600. Its totient is φ = 106527990115008.

The previous prime is 112001000112103. The next prime is 112001000112137. The reversal of 112001000112121 is 121211000100211.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 112001000112121 - 2¹⁹ = 112000999587833 is a prime.

It is a super-2 number, since 2×112001000112121² (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 (112001000112161) 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 15 ways as a sum of consecutive naturals, for example, 1197400 + ... + 15014518.

It is an arithmetic number, because the mean of its divisors is an integer number (7345595505600).

Almost surely, 2^{112001000112121} is an apocalyptic number.

It is an amenable number.

112001000112121 is a deficient number, since it is larger than the sum of its proper divisors (5528527977479).

112001000112121 is a wasteful number, since it uses less digits than its factorization.

112001000112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13819128.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112001000112121 its reverse (121211000100211), we get a palindrome (233212000212332).

The spelling of 112001000112121 in words is "one hundred twelve trillion, one billion, one hundred twelve thousand, one hundred twenty-one".