10182828101 has 4 divisors (see below), whose sum is σ = 10431189804. Its totient is φ = 9934466400.

The previous prime is 10182828083. The next prime is 10182828107.

10182828101 is nontrivially palindromic in base 10.

It is a Cunningham number, because it is equal to 100910²+1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 490622500 + 9692205601 = 22150^2 + 98449^2 .

It is a cyclic number.

It is not a de Polignac number, because 10182828101 - 2¹⁰ = 10182827077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10182828107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124180790 + ... + 124180871.

It is an arithmetic number, because the mean of its divisors is an integer number (2607797451).

Almost surely, 2^10182828101 is an apocalyptic number.

It is an amenable number.

10182828101 is a deficient number, since it is larger than the sum of its proper divisors (248361703).

10182828101 is an equidigital number, since it uses as much as digits as its factorization.

10182828101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248361702.

The product of its (nonzero) digits is 2048, while the sum is 32.

The spelling of 10182828101 in words is "ten billion, one hundred eighty-two million, eight hundred twenty-eight thousand, one hundred one".