2112120212002 has 64 divisors (see below), whose sum is σ = 3286046994048. Its totient is φ = 1017520704000.

The previous prime is 2112120211979. The next prime is 2112120212011. The reversal of 2112120212002 is 2002120212112.

It is a happy number.

It is a super-2 number, since 2×2112120212002² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2604340177 + ... + 2604340987.

It is an arithmetic number, because the mean of its divisors is an integer number (51344484282).

Almost surely, 2^{2112120212002} is an apocalyptic number.

2112120212002 is a deficient number, since it is larger than the sum of its proper divisors (1173926782046).

2112120212002 is a wasteful number, since it uses less digits than its factorization.

2112120212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2112120212002 its reverse (2002120212112), we get a palindrome (4114240424114).

The spelling of 2112120212002 in words is "two trillion, one hundred twelve billion, one hundred twenty million, two hundred twelve thousand, two".