128601132100 has 243 divisors, whose sum is σ = 334750744503. Its totient is φ = 42757787520.

The previous prime is 128601132017. The next prime is 128601132131. The reversal of 128601132100 is 1231106821.

The square root of 128601132100 is 358610.

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

It can be written as a sum of positive squares in 4 ways, for example, as 471497796 + 128129634304 = 21714^2 + 357952^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1179826846 + ... + 1179826954.

Almost surely, 2^128601132100 is an apocalyptic number.

128601132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

128601132100 is the 358610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128601132100

128601132100 is an abundant number, since it is smaller than the sum of its proper divisors (206149612403).

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

128601132100 is a wasteful number, since it uses less digits than its factorization.

128601132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

Multiplying 128601132100 by its sum of digits (25), we get a square (3215028302500 = 1793050²).

128601132100 divided by its sum of digits (25) gives a square (5144045284 = 71722²).

Multiplying 128601132100 by its product of nonzero digits (576), we get a square (74074252089600 = 8606640²).

Adding to 128601132100 its reverse (1231106821), we get a palindrome (129832238921).

The spelling of 128601132100 in words is "one hundred twenty-eight billion, six hundred one million, one hundred thirty-two thousand, one hundred".