128481998300100 has 243 divisors, whose sum is σ = 411521688986317. Its totient is φ = 33528719060160.

The previous prime is 128481998300057. The next prime is 128481998300107. The reversal of 128481998300100 is 1003899184821.

It is a happy number.

The square root of 128481998300100 is 11334990.

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

128481998300100 is a `hidden beast` number, since 1 + 2 + 8 + 48 + 199 + 8 + 300 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46253519388036 + 82228478912064 = 6800994^2 + 9067992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128481998300107) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15982331881 + ... + 15982339919.

Almost surely, 2^{128481998300100} is an apocalyptic number.

128481998300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

128481998300100 is the 11334990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128481998300100

128481998300100 is an abundant number, since it is smaller than the sum of its proper divisors (283039690686217).

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

128481998300100 is an frugal number, since it uses more digits than its factorization.

128481998300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16192 (or 8096 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 128481998300100 in words is "one hundred twenty-eight trillion, four hundred eighty-one billion, nine hundred ninety-eight million, three hundred thousand, one hundred".