112100012112100 has 18 divisors (see below), whose sum is σ = 243257026283474. Its totient is φ = 44840004844800.

The previous prime is 112100012112043. The next prime is 112100012112107. The reversal of 112100012112100 is 1211210001211.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3888255521956 + 108211756590144 = 1971866^2 + 10402488^2 .

It is not an unprimeable number, because it can be changed into a prime (112100012112107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 560500060461 + ... + 560500060660.

Almost surely, 2^{112100012112100} is an apocalyptic number.

112100012112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112100012112100 is an abundant number, since it is smaller than the sum of its proper divisors (131157014171374).

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

112100012112100 is a wasteful number, since it uses less digits than its factorization.

112100012112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121000121135 (or 1121000121128 counting only the distinct ones).

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

Adding to 112100012112100 its reverse (1211210001211), we get a palindrome (113311222113311).

The spelling of 112100012112100 in words is "one hundred twelve trillion, one hundred billion, twelve million, one hundred twelve thousand, one hundred".