10001120013225 has 72 divisors (see below), whose sum is σ = 19542217155552. Its totient is φ = 4848870374400.

The previous prime is 10001120013217. The next prime is 10001120013239. The reversal of 10001120013225 is 52231002110001.

It is not a de Polignac number, because 10001120013225 - 2³ = 10001120013217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001120013198 and 10001120013207.

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 71 ways as a sum of consecutive naturals, for example, 121993849 + ... + 122075801.

It is an arithmetic number, because the mean of its divisors is an integer number (271419682716).

Almost surely, 2^{10001120013225} is an apocalyptic number.

10001120013225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10001120013225 is a deficient number, since it is larger than the sum of its proper divisors (9541097142327).

10001120013225 is a wasteful number, since it uses less digits than its factorization.

10001120013225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131287 (or 131279 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10001120013225 its reverse (52231002110001), we get a palindrome (62232122123226).

The spelling of 10001120013225 in words is "ten trillion, one billion, one hundred twenty million, thirteen thousand, two hundred twenty-five".