112121120200100 has 144 divisors (see below), whose sum is σ = 267646584272256. Its totient is φ = 40766479388800.

The previous prime is 112121120200057. The next prime is 112121120200129. The reversal of 112121120200100 is 1002021121211.

It is a super-2 number, since 2×112121120200100² (a number of 29 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, 1236852977 + ... + 1236943623.

It is an arithmetic number, because the mean of its divisors is an integer number (1858656835224).

Almost surely, 2^{112121120200100} is an apocalyptic number.

112121120200100 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 112121120200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133823292136128).

112121120200100 is an abundant number, since it is smaller than the sum of its proper divisors (155525464072156).

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

112121120200100 is a wasteful number, since it uses less digits than its factorization.

112121120200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99987 (or 99958 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112121120200100 its reverse (1002021121211), we get a palindrome (113123141321311).

The spelling of 112121120200100 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred twenty million, two hundred thousand, one hundred".