2112001343100 has 216 divisors, whose sum is σ = 7243205603088. Its totient is φ = 510480230400.

The previous prime is 2112001343071. The next prime is 2112001343107. The reversal of 2112001343100 is 13431002112.

2112001343100 is a `hidden beast` number, since 21 + 1 + 200 + 1 + 343 + 100 = 666.

It is a super-2 number, since 2×2112001343100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112001343107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3019782 + ... + 3652818.

Almost surely, 2^{2112001343100} is an apocalyptic number.

2112001343100 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 2112001343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621602801544).

2112001343100 is an abundant number, since it is smaller than the sum of its proper divisors (5131204259988).

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

2112001343100 is a wasteful number, since it uses less digits than its factorization.

2112001343100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633405 (or 633395 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2112001343100 its reverse (13431002112), we get a palindrome (2125432345212).

The spelling of 2112001343100 in words is "two trillion, one hundred twelve billion, one million, three hundred forty-three thousand, one hundred".