2110112112100 has 144 divisors (see below), whose sum is σ = 4748616069120. Its totient is φ = 813315484800.

The previous prime is 2110112112077. The next prime is 2110112112137. The reversal of 2110112112100 is 12112110112.

It is a happy number.

It is a super-2 number, since 2×2110112112100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 700799595 + ... + 700802605.

It is an arithmetic number, because the mean of its divisors is an integer number (32976500480).

Almost surely, 2^{2110112112100} is an apocalyptic number.

2110112112100 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 2110112112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374308034560).

2110112112100 is an abundant number, since it is smaller than the sum of its proper divisors (2638503957020).

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

2110112112100 is a wasteful number, since it uses less digits than its factorization.

2110112112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5210 (or 5203 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2110112112100 its reverse (12112110112), we get a palindrome (2122224222212).

The spelling of 2110112112100 in words is "two trillion, one hundred ten billion, one hundred twelve million, one hundred twelve thousand, one hundred".