112602050100 has 288 divisors, whose sum is σ = 370716272640. Its totient is φ = 29307358080.

The previous prime is 112602050081. The next prime is 112602050131. The reversal of 112602050100 is 1050206211.

112602050100 is a `hidden beast` number, since 1 + 1 + 2 + 602 + 0 + 50 + 10 + 0 = 666.

112602050100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 56215699 + ... + 56217701.

It is an arithmetic number, because the mean of its divisors is an integer number (1287209280).

Almost surely, 2^112602050100 is an apocalyptic number.

112602050100 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 112602050100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185358136320).

112602050100 is an abundant number, since it is smaller than the sum of its proper divisors (258114222540).

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

112602050100 is a wasteful number, since it uses less digits than its factorization.

112602050100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 112602050100 its reverse (1050206211), we get a palindrome (113652256311).

The spelling of 112602050100 in words is "one hundred twelve billion, six hundred two million, fifty thousand, one hundred".