112102200002100 has 576 divisors, whose sum is σ = 411647252889600. Its totient is φ = 22878618048000.

The previous prime is 112102200002071. The next prime is 112102200002159. The reversal of 112102200002100 is 1200002201211.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 348395091 + ... + 348716709.

It is an arithmetic number, because the mean of its divisors is an integer number (714665369600).

Almost surely, 2^{112102200002100} is an apocalyptic number.

112102200002100 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 112102200002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205823626444800).

112102200002100 is an abundant number, since it is smaller than the sum of its proper divisors (299545052887500).

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

112102200002100 is a wasteful number, since it uses less digits than its factorization.

112102200002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321924 (or 321917 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112102200002100 its reverse (1200002201211), we get a palindrome (113302202203311).

The spelling of 112102200002100 in words is "one hundred twelve trillion, one hundred two billion, two hundred million, two thousand, one hundred".