2112110000100 has 864 divisors, whose sum is σ = 7175459491200. Its totient is φ = 538596864000.

The previous prime is 2112110000023. The next prime is 2112110000167. The reversal of 2112110000100 is 10000112112.

It is a happy number.

It is a super-2 number, since 2×2112110000100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14175234826 + ... + 14175234974.

Almost surely, 2^{2112110000100} is an apocalyptic number.

2112110000100 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 2112110000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587729745600).

2112110000100 is an abundant number, since it is smaller than the sum of its proper divisors (5063349491100).

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

2112110000100 is a wasteful number, since it uses less digits than its factorization.

2112110000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2112110000100 its reverse (10000112112), we get a palindrome (2122110112212).

The spelling of 2112110000100 in words is "two trillion, one hundred twelve billion, one hundred ten million, one hundred", and thus it is an aban number.