2112111102000 has 80 divisors (see below), whose sum is σ = 6809446212192. Its totient is φ = 563229625600.

The previous prime is 2112111101963. The next prime is 2112111102011. The reversal of 2112111102000 is 2011112112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2112111102000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 15 ways as a sum of consecutive naturals, for example, 176003259 + ... + 176015258.

Almost surely, 2^{2112111102000} is an apocalyptic number.

2112111102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112111102000 is an abundant number, since it is smaller than the sum of its proper divisors (4697335110192).

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

2112111102000 is a wasteful number, since it uses less digits than its factorization.

2112111102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352018543 (or 352018527 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2112111102000 its reverse (2011112112), we get a palindrome (2114122214112).

The spelling of 2112111102000 in words is "two trillion, one hundred twelve billion, one hundred eleven million, one hundred two thousand".