2112112101112 has 64 divisors (see below), whose sum is σ = 4284474264000. Its totient is φ = 970339958784.

The previous prime is 2112112101103. The next prime is 2112112101131. The reversal of 2112112101112 is 2111012112112.

It is a super-2 number, since 2×2112112101112² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32223589 + ... + 32289067.

It is an arithmetic number, because the mean of its divisors is an integer number (66944910375).

Almost surely, 2^{2112112101112} is an apocalyptic number.

It is an amenable number.

2112112101112 is an abundant number, since it is smaller than the sum of its proper divisors (2172362162888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2112112101112 is a wasteful number, since it uses less digits than its factorization.

2112112101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66920 (or 66916 counting only the distinct ones).

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

Adding to 2112112101112 its reverse (2111012112112), we get a palindrome (4223124213224).

The spelling of 2112112101112 in words is "two trillion, one hundred twelve billion, one hundred twelve million, one hundred one thousand, one hundred twelve".