10100207025 has 36 divisors (see below), whose sum is σ = 19154752812. Its totient is φ = 5069905920.

The previous prime is 10100207023. The next prime is 10100207057. The reversal of 10100207025 is 52070200101.

It can be written as a sum of positive squares in 6 ways, for example, as 153735201 + 9946471824 = 12399^2 + 99732^2 .

It is not a de Polignac number, because 10100207025 - 2¹ = 10100207023 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10100206989 and 10100207007.

It is not an unprimeable number, because it can be changed into a prime (10100207021) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1316464 + ... + 1324113.

It is an arithmetic number, because the mean of its divisors is an integer number (532076467).

Almost surely, 2^10100207025 is an apocalyptic number.

10100207025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10100207025 is a deficient number, since it is larger than the sum of its proper divisors (9054545787).

10100207025 is a wasteful number, since it uses less digits than its factorization.

10100207025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640610 (or 2640602 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

Adding to 10100207025 its reverse (52070200101), we get a palindrome (62170407126).

The spelling of 10100207025 in words is "ten billion, one hundred million, two hundred seven thousand, twenty-five".