10182828201 has 32 divisors (see below), whose sum is σ = 17161928448. Its totient is φ = 5225990400.

The previous prime is 10182828197. The next prime is 10182828211. The reversal of 10182828201 is 10282828101.

10182828201 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 10182828201 - 2² = 10182828197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10182828211) 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 31 ways as a sum of consecutive naturals, for example, 493950 + ... + 514151.

It is an arithmetic number, because the mean of its divisors is an integer number (536310264).

Almost surely, 2^10182828201 is an apocalyptic number.

It is an amenable number.

10182828201 is a deficient number, since it is larger than the sum of its proper divisors (6979100247).

10182828201 is a wasteful number, since it uses less digits than its factorization.

10182828201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008161.

The product of its (nonzero) digits is 4096, while the sum is 33.

Multiplying 10182828201 by its sum of digits (33), we get a palindrome (336033330633).

The spelling of 10182828201 in words is "ten billion, one hundred eighty-two million, eight hundred twenty-eight thousand, two hundred one".