112131121202100 has 864 divisors, whose sum is σ = 484656380173056. Its totient is φ = 20926373068800.

The previous prime is 112131121202071. The next prime is 112131121202143. The reversal of 112131121202100 is 1202121131211.

It is a happy number.

112131121202100 is a `hidden beast` number, since 1 + 1 + 21 + 311 + 2 + 120 + 210 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31651332 + ... + 35015268.

Almost surely, 2^{112131121202100} is an apocalyptic number.

112131121202100 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 112131121202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242328190086528).

112131121202100 is an abundant number, since it is smaller than the sum of its proper divisors (372525258970956).

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

112131121202100 is a wasteful number, since it uses less digits than its factorization.

112131121202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364025 (or 3364015 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 112131121202100 its reverse (1202121131211), we get a palindrome (113333242333311).

The spelling of 112131121202100 in words is "one hundred twelve trillion, one hundred thirty-one billion, one hundred twenty-one million, two hundred two thousand, one hundred".