2112112101121 has 8 divisors (see below), whose sum is σ = 2353146171264. Its totient is φ = 1879248677520.

The previous prime is 2112112101103. The next prime is 2112112101131. The reversal of 2112112101121 is 1211012112112.

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 2112112101121 - 2⁵ = 2112112101089 is a prime.

It is a super-2 number, since 2×2112112101121² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2112112101095 and 2112112101104.

It is not an unprimeable number, because it can be changed into a prime (2112112101131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2042661090 + ... + 2042662123.

It is an arithmetic number, because the mean of its divisors is an integer number (294143271408).

Almost surely, 2^{2112112101121} is an apocalyptic number.

It is an amenable number.

2112112101121 is a deficient number, since it is larger than the sum of its proper divisors (241034070143).

2112112101121 is a wasteful number, since it uses less digits than its factorization.

2112112101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4085323271.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 2112112101121 its reverse (1211012112112), we get a palindrome (3323124213233).

The spelling of 2112112101121 in words is "two trillion, one hundred twelve billion, one hundred twelve million, one hundred one thousand, one hundred twenty-one".