112001001101121 has 64 divisors (see below), whose sum is σ = 175664589520896. Its totient is φ = 62766590515200.

The previous prime is 112001001101071. The next prime is 112001001101131. The reversal of 112001001101121 is 121101100100211.

It is not a de Polignac number, because 112001001101121 - 2¹⁰ = 112001001100097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112001001101097 and 112001001101106.

It is not an unprimeable number, because it can be changed into a prime (112001001101131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19506585 + ... + 24586761.

It is an arithmetic number, because the mean of its divisors is an integer number (2744759211264).

Almost surely, 2^{112001001101121} is an apocalyptic number.

112001001101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112001001101121 is a deficient number, since it is larger than the sum of its proper divisors (63663588419775).

112001001101121 is a wasteful number, since it uses less digits than its factorization.

112001001101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5081182.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 112001001101121 its reverse (121101100100211), we get a palindrome (233102101201332).

The spelling of 112001001101121 in words is "one hundred twelve trillion, one billion, one million, one hundred one thousand, one hundred twenty-one".