10403779289121 has 9 divisors (see below), whose sum is σ = 15027695172529. Its totient is φ = 6935846408436.

The previous prime is 10403779289081. The next prime is 10403779289177. The reversal of 10403779289121 is 12198297730401.

The square root of 10403779289121 is 3225489.

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

10403779289121 is a `hidden beast` number, since 1 + 0 + 403 + 77 + 92 + 89 + 1 + 2 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10403779289121 - 2³¹ = 10401631805473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10403779289821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9138886 + ... + 10214048.

Almost surely, 2^{10403779289121} is an apocalyptic number.

10403779289121 is the 3225489-th square number.

10403779289121 is the 1612745-th centered octagonal number.

It is an amenable number.

10403779289121 is a deficient number, since it is larger than the sum of its proper divisors (4623915883408).

10403779289121 is an frugal number, since it uses more digits than its factorization.

10403779289121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150332 (or 1075166 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

It can be divided in two parts, 10403779 and 289121, that added together give a square (10692900 = 3270²).

The spelling of 10403779289121 in words is "ten trillion, four hundred three billion, seven hundred seventy-nine million, two hundred eighty-nine thousand, one hundred twenty-one".