10132122314401 has 4 divisors (see below), whose sum is σ = 10132828547632. Its totient is φ = 10131416081172.

The previous prime is 10132122314387. The next prime is 10132122314429. The reversal of 10132122314401 is 10441322123101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10132122314401 - 2¹⁷ = 10132122183329 is a prime.

It is a super-4 number, since 4×10132122314401⁴ (a number of 53 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10132122314441) 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 3 ways as a sum of consecutive naturals, for example, 353095095 + ... + 353123788.

It is an arithmetic number, because the mean of its divisors is an integer number (2533207136908).

Almost surely, 2^{10132122314401} is an apocalyptic number.

It is an amenable number.

10132122314401 is a deficient number, since it is larger than the sum of its proper divisors (706233231).

10132122314401 is an equidigital number, since it uses as much as digits as its factorization.

10132122314401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706233230.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 10132122314401 its reverse (10441322123101), we get a palindrome (20573444437502).

The spelling of 10132122314401 in words is "ten trillion, one hundred thirty-two billion, one hundred twenty-two million, three hundred fourteen thousand, four hundred one".