10100540305321 has 2 divisors, whose sum is σ = 10100540305322. Its totient is φ = 10100540305320.

The previous prime is 10100540305301. The next prime is 10100540305411. The reversal of 10100540305321 is 12350304500101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8601051890025 + 1499488415296 = 2932755^2 + 1224536^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100540305321 - 2²¹ = 10100538208169 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100540305301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050270152660 + 5050270152661.

It is an arithmetic number, because the mean of its divisors is an integer number (5050270152661).

Almost surely, 2^{10100540305321} is an apocalyptic number.

It is an amenable number.

10100540305321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100540305321 is an equidigital number, since it uses as much as digits as its factorization.

10100540305321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 10100540305321 its reverse (12350304500101), we get a palindrome (22450844805422).

The spelling of 10100540305321 in words is "ten trillion, one hundred billion, five hundred forty million, three hundred five thousand, three hundred twenty-one".