112121101112001 has 16 divisors (see below), whose sum is σ = 149614613344704. Its totient is φ = 74687511213504.

The previous prime is 112121101111991. The next prime is 112121101112047. The reversal of 112121101112001 is 100211101121211.

It is not a de Polignac number, because 112121101112001 - 2⁶ = 112121101111937 is a prime.

It is a super-2 number, since 2×112121101112001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112121101112071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25343406 + ... + 29436888.

It is an arithmetic number, because the mean of its divisors is an integer number (9350913334044).

Almost surely, 2^{112121101112001} is an apocalyptic number.

It is an amenable number.

112121101112001 is a deficient number, since it is larger than the sum of its proper divisors (37493512232703).

112121101112001 is a wasteful number, since it uses less digits than its factorization.

112121101112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4100800.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 112121101112001 its reverse (100211101121211), we get a palindrome (212332202233212).

The spelling of 112121101112001 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred one million, one hundred twelve thousand, one".