10101265000 has 40 divisors (see below), whose sum is σ = 23667275610. Its totient is φ = 4040504000.

The previous prime is 10101264991. The next prime is 10101265001. The reversal of 10101265000 is 56210101.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 976812516 + 9124452484 = 31254^2 + 95522^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (10101265001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1005127 + ... + 1015126.

Almost surely, 2^10101265000 is an apocalyptic number.

10101265000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101265000 is an abundant number, since it is smaller than the sum of its proper divisors (13566010610).

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

10101265000 is an equidigital number, since it uses as much as digits as its factorization.

10101265000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020279 (or 2020260 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

Adding to 10101265000 its reverse (56210101), we get a palindrome (10157475101).

The spelling of 10101265000 in words is "ten billion, one hundred one million, two hundred sixty-five thousand".