10135142225 has 12 divisors (see below), whose sum is σ = 13534313436. Its totient is φ = 7484412480.

The previous prime is 10135142221. The next prime is 10135142239. The reversal of 10135142225 is 52224153101.

10135142225 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1987733056 + 8147409169 = 44584^2 + 90263^2 .

It is not a de Polignac number, because 10135142225 - 2² = 10135142221 is a prime.

It is a super-2 number, since 2×10135142225² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10135142194 and 10135142203.

It is not an unprimeable number, because it can be changed into a prime (10135142221) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15592202 + ... + 15592851.

It is an arithmetic number, because the mean of its divisors is an integer number (1127859453).

Almost surely, 2^10135142225 is an apocalyptic number.

It is an amenable number.

10135142225 is a deficient number, since it is larger than the sum of its proper divisors (3399171211).

10135142225 is a wasteful number, since it uses less digits than its factorization.

10135142225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31185076 (or 31185071 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 10135142225 its reverse (52224153101), we get a palindrome (62359295326).

The spelling of 10135142225 in words is "ten billion, one hundred thirty-five million, one hundred forty-two thousand, two hundred twenty-five".