10195121280400 has 135 divisors (see below), whose sum is σ = 28494012536289. Its totient is φ = 3495316890240.

The previous prime is 10195121280389. The next prime is 10195121280451. The reversal of 10195121280400 is 408212159101.

The square root of 10195121280400 is 3192980.

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

It can be written as a sum of positive squares in only one way, i.e., 3670243660944 + 6524877619456 = 1915788^2 + 2554384^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 447005797 + ... + 447028603.

Almost surely, 2^{10195121280400} is an apocalyptic number.

10195121280400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10195121280400 is the 3192980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10195121280400

10195121280400 is an abundant number, since it is smaller than the sum of its proper divisors (18298891255889).

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

10195121280400 is an frugal number, since it uses more digits than its factorization.

10195121280400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45646 (or 22821 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 34.

The spelling of 10195121280400 in words is "ten trillion, one hundred ninety-five billion, one hundred twenty-one million, two hundred eighty thousand, four hundred".