10152625101 has 16 divisors (see below), whose sum is σ = 13913928000. Its totient is φ = 6580165248.

The previous prime is 10152625081. The next prime is 10152625103.

10152625101 is nontrivially palindromic in base 10.

10152625101 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 10152625101 - 2²² = 10148430797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10152625103) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 103425 + ... + 176073.

It is an arithmetic number, because the mean of its divisors is an integer number (869620500).

Almost surely, 2^10152625101 is an apocalyptic number.

It is an amenable number.

10152625101 is a deficient number, since it is larger than the sum of its proper divisors (3761302899).

10152625101 is a wasteful number, since it uses less digits than its factorization.

10152625101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73948.

The product of its (nonzero) digits is 600, while the sum is 24.

The spelling of 10152625101 in words is "ten billion, one hundred fifty-two million, six hundred twenty-five thousand, one hundred one".