10201311225 has 108 divisors (see below), whose sum is σ = 21708146304. Its totient is φ = 4564002240.

The previous prime is 10201311191. The next prime is 10201311277. The reversal of 10201311225 is 52211310201.

10201311225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10201311225 - 2¹⁴ = 10201294841 is a prime.

It is a super-2 number, since 2×10201311225² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10201311198 and 10201311207.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 508332 + ... + 528018.

Almost surely, 2^10201311225 is an apocalyptic number.

10201311225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10201311225 is an abundant number, since it is smaller than the sum of its proper divisors (11506835079).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10201311225 is a wasteful number, since it uses less digits than its factorization.

10201311225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19764 (or 19749 counting only the distinct ones).

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

Adding to 10201311225 its reverse (52211310201), we get a palindrome (62412621426).

The spelling of 10201311225 in words is "ten billion, two hundred one million, three hundred eleven thousand, two hundred twenty-five".