10204322340201 has 48 divisors (see below), whose sum is σ = 15270621385152. Its totient is φ = 6055193802240.

The previous prime is 10204322340187. The next prime is 10204322340209.

It is a happy number.

10204322340201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10204322340201 - 2⁹ = 10204322339689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10204322340209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2224950 + ... + 5035776.

It is an arithmetic number, because the mean of its divisors is an integer number (318137945524).

Almost surely, 2^{10204322340201} is an apocalyptic number.

10204322340201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10204322340201 is a deficient number, since it is larger than the sum of its proper divisors (5066299044951).

10204322340201 is a wasteful number, since it uses less digits than its factorization.

10204322340201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811062 (or 2811051 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 1020432 and 2340201, that added together give a palindrome (3360633).

The spelling of 10204322340201 in words is "ten trillion, two hundred four billion, three hundred twenty-two million, three hundred forty thousand, two hundred one".