102500001025 has 24 divisors (see below), whose sum is σ = 137858848344. Its totient is φ = 75294105600.

The previous prime is 102500001017. The next prime is 102500001029. The reversal of 102500001025 is 520100005201.

It can be written as a sum of positive squares in 12 ways, for example, as 25403259456 + 77096741569 = 159384^2 + 277663^2 .

It is not a de Polignac number, because 102500001025 - 2³ = 102500001017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102500001029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2923752 + ... + 2958601.

It is an arithmetic number, because the mean of its divisors is an integer number (5744118681).

Almost surely, 2^102500001025 is an apocalyptic number.

It is an amenable number.

102500001025 is a deficient number, since it is larger than the sum of its proper divisors (35358847319).

102500001025 is a wasteful number, since it uses less digits than its factorization.

102500001025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882421 (or 5882416 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

Adding to 102500001025 its reverse (520100005201), we get a palindrome (622600006226).

It can be divided in two parts, 10250000 and 1025, that multiplied together give a square (10506250000 = 102500²).

The spelling of 102500001025 in words is "one hundred two billion, five hundred million, one thousand, twenty-five".