112121211212100 has 720 divisors, whose sum is σ = 376588941265152. Its totient is φ = 28836000000000.

The previous prime is 112121211212057. The next prime is 112121211212167. The reversal of 112121211212100 is 1212112121211.

It is a happy number.

112121211212100 is a `hidden beast` number, since 1 + 1 + 212 + 121 + 121 + 210 + 0 = 666.

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

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 25190114875 + ... + 25190119325.

Almost surely, 2^{112121211212100} is an apocalyptic number.

112121211212100 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 112121211212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188294470632576).

112121211212100 is an abundant number, since it is smaller than the sum of its proper divisors (264467730053052).

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

112121211212100 is a wasteful number, since it uses less digits than its factorization.

112121211212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5370 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112121211212100 its reverse (1212112121211), we get a palindrome (113333323333311).

The spelling of 112121211212100 in words is "one hundred twelve trillion, one hundred twenty-one billion, two hundred eleven million, two hundred twelve thousand, one hundred".