2112112121009 has 32 divisors (see below), whose sum is σ = 2444389049088. Its totient is φ = 1806013440000.

The previous prime is 2112112120997. The next prime is 2112112121029. The reversal of 2112112121009 is 9001212112112.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-2112112121009 is a prime.

It is a super-2 number, since 2×2112112121009² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2112112121029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62841809 + ... + 62875409.

It is an arithmetic number, because the mean of its divisors is an integer number (76387157784).

Almost surely, 2^{2112112121009} is an apocalyptic number.

It is an amenable number.

2112112121009 is a deficient number, since it is larger than the sum of its proper divisors (332276928079).

2112112121009 is a wasteful number, since it uses less digits than its factorization.

2112112121009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37769.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 2112112121009 in words is "two trillion, one hundred twelve billion, one hundred twelve million, one hundred twenty-one thousand, nine".