112121000120100 has 144 divisors (see below), whose sum is σ = 327194518210560. Its totient is φ = 29642129462400.

The previous prime is 112121000120093. The next prime is 112121000120123. The reversal of 112121000120100 is 1021000121211.

It is a super-2 number, since 2×112121000120100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 39459769 + ... + 42205631.

It is an arithmetic number, because the mean of its divisors is an integer number (2272184154240).

Almost surely, 2^{112121000120100} is an apocalyptic number.

112121000120100 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 112121000120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163597259105280).

112121000120100 is an abundant number, since it is smaller than the sum of its proper divisors (215073518090460).

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

112121000120100 is a wasteful number, since it uses less digits than its factorization.

112121000120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747050 (or 2747043 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112121000120100 its reverse (1021000121211), we get a palindrome (113142000241311).

The spelling of 112121000120100 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred twenty thousand, one hundred".