10222132600849 has 135 divisors (see below), whose sum is σ = 12635564145813. Its totient is φ = 8265061449216.

The previous prime is 10222132600847. The next prime is 10222132600873. The reversal of 10222132600849 is 94800623122201.

The square root of 10222132600849 is 3197207.

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

It can be written as a sum of positive squares in 22 ways, for example, as 6425246527249 + 3796886073600 = 2534807^2 + 1948560^2 .

It is not a de Polignac number, because 10222132600849 - 2¹ = 10222132600847 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10222132600847) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 276273854059 + ... + 276273854095.

Almost surely, 2^{10222132600849} is an apocalyptic number.

10222132600849 is the 3197207-th square number.

10222132600849 is the 1598604-th centered octagonal number.

It is an amenable number.

10222132600849 is a deficient number, since it is larger than the sum of its proper divisors (2413431544964).

10222132600849 is an frugal number, since it uses more digits than its factorization.

10222132600849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 10222132600849 in words is "ten trillion, two hundred twenty-two billion, one hundred thirty-two million, six hundred thousand, eight hundred forty-nine".