1112123112100 has 648 divisors, whose sum is σ = 3376714834752. Its totient is φ = 309355200000.

The previous prime is 1112123112077. The next prime is 1112123112103. The reversal of 1112123112100 is 12113212111.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1112123112103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1058156575 + ... + 1058157625.

Almost surely, 2^{1112123112100} is an apocalyptic number.

1112123112100 is a gapful number since it is divisible by the number (10) 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 1112123112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688357417376).

1112123112100 is an abundant number, since it is smaller than the sum of its proper divisors (2264591722652).

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

1112123112100 is a wasteful number, since it uses less digits than its factorization.

1112123112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 1112123112100 its reverse (12113212111), we get a palindrome (1124236324211).

The spelling of 1112123112100 in words is "one trillion, one hundred twelve billion, one hundred twenty-three million, one hundred twelve thousand, one hundred".