10223219680129 has 45 divisors (see below), whose sum is σ = 11485331188601. Its totient is φ = 9097944410880.

The previous prime is 10223219680127. The next prime is 10223219680151. The reversal of 10223219680129 is 92108691232201.

The square root of 10223219680129 is 3197377.

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 57631204225 + 10165588475904 = 240065^2 + 3188352^2 .

It is not a de Polignac number, because 10223219680129 - 2¹ = 10223219680127 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10223219680127) 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 44 ways as a sum of consecutive naturals, for example, 19622302389 + ... + 19622302909.

Almost surely, 2^{10223219680129} is an apocalyptic number.

10223219680129 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10223219680129 is the 3197377-th square number.

10223219680129 is the 1598689-th centered octagonal number.

It is an amenable number.

10223219680129 is a deficient number, since it is larger than the sum of its proper divisors (1262111508472).

10223219680129 is an frugal number, since it uses more digits than its factorization.

10223219680129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 10223219680129 in words is "ten trillion, two hundred twenty-three billion, two hundred nineteen million, six hundred eighty thousand, one hundred twenty-nine".