112963099128100 has 405 divisors, whose sum is σ = 281118278600901. Its totient is φ = 39394839369600.

The previous prime is 112963099127969. The next prime is 112963099128101. The reversal of 112963099128100 is 1821990369211.

The square root of 112963099128100 is 10628410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 110834278061796 + 2128821066304 = 10527786^2 + 1459048^2 .

It is a super-2 number, since 2×112963099128100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112963099128101) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 341278244935 + ... + 341278245265.

Almost surely, 2^{112963099128100} is an apocalyptic number.

112963099128100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112963099128100 is the 10628410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112963099128100

112963099128100 is an abundant number, since it is smaller than the sum of its proper divisors (168155179472801).

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

112963099128100 is an frugal number, since it uses more digits than its factorization.

112963099128100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 52.

The spelling of 112963099128100 in words is "one hundred twelve trillion, nine hundred sixty-three billion, ninety-nine million, one hundred twenty-eight thousand, one hundred".