2112101112000 has 448 divisors, whose sum is σ = 7618200265728. Its totient is φ = 511349760000.

The previous prime is 2112101111971. The next prime is 2112101112007. The reversal of 2112101112000 is 2111012112.

It is a super-2 number, since 2×2112101112000² (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 not an unprimeable number, because it can be changed into a prime (2112101112007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217267140 + ... + 217276860.

Almost surely, 2^{2112101112000} is an apocalyptic number.

2112101112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112101112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809100132864).

2112101112000 is an abundant number, since it is smaller than the sum of its proper divisors (5506099153728).

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

2112101112000 is a wasteful number, since it uses less digits than its factorization.

2112101112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10585 (or 10565 counting only the distinct ones).

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

Adding to 2112101112000 its reverse (2111012112), we get a palindrome (2114212124112).

The spelling of 2112101112000 in words is "two trillion, one hundred twelve billion, one hundred one million, one hundred twelve thousand".