2112112002 has 64 divisors (see below), whose sum is σ = 5671701504. Its totient is φ = 506399040.

The previous prime is 2112111979. The next prime is 2112112049. The reversal of 2112112002 is 2002112112.

It is a super-3 number, since 3×2112112002³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169828 + ... + 181839.

It is an arithmetic number, because the mean of its divisors is an integer number (88620336).

Almost surely, 2^2112112002 is an apocalyptic number.

2112112002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2112112002 is an abundant number, since it is smaller than the sum of its proper divisors (3559589502).

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

2112112002 is a wasteful number, since it uses less digits than its factorization.

2112112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351703.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2112112002 is about 45957.7197215005. The cubic root of 2112112002 is about 1283.0364115381.

Adding to 2112112002 its reverse (2002112112), we get a palindrome (4114224114).

The spelling of 2112112002 in words is "two billion, one hundred twelve million, one hundred twelve thousand, two".