10100025001 has 6 divisors (see below), whose sum is σ = 11101680506. Its totient is φ = 9181840800.

The previous prime is 10100024981. The next prime is 10100025017. The reversal of 10100025001 is 10052000101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7408905625 + 2691119376 = 86075^2 + 51876^2 .

It is not a de Polignac number, because 10100025001 - 2⁹ = 10100024489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100025071) 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 5 ways as a sum of consecutive naturals, for example, 41735520 + ... + 41735761.

Almost surely, 2^10100025001 is an apocalyptic number.

10100025001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100025001 is a deficient number, since it is larger than the sum of its proper divisors (1001655505).

10100025001 is an equidigital number, since it uses as much as digits as its factorization.

10100025001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83471303 (or 83471292 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

Adding to 10100025001 its reverse (10052000101), we get a palindrome (20152025102).

Subtracting from 10100025001 its reverse (10052000101), we obtain a triangular number (48024900 = T₉₈₀₀).

The spelling of 10100025001 in words is "ten billion, one hundred million, twenty-five thousand, one".