10225352261201 has 24 divisors (see below), whose sum is σ = 12852996499392. Its totient is φ = 7962890522400.

The previous prime is 10225352261153. The next prime is 10225352261203. The reversal of 10225352261201 is 10216225352201.

It is a de Polignac number, because none of the positive numbers 2^k-10225352261201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10225352261203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2350775 + ... + 5096748.

It is an arithmetic number, because the mean of its divisors is an integer number (535541520808).

Almost surely, 2^{10225352261201} is an apocalyptic number.

10225352261201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10225352261201 is a deficient number, since it is larger than the sum of its proper divisors (2627644238191).

10225352261201 is a wasteful number, since it uses less digits than its factorization.

10225352261201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7449173 (or 7449162 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 10225352261201 in words is "ten trillion, two hundred twenty-five billion, three hundred fifty-two million, two hundred sixty-one thousand, two hundred one".