10100122321001 has 16 divisors (see below), whose sum is σ = 10557996364800. Its totient is φ = 9643813975488.

The previous prime is 10100122320991. The next prime is 10100122321049. The reversal of 10100122321001 is 10012322100101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100122321001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10100122321901) 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 15 ways as a sum of consecutive naturals, for example, 117634355 + ... + 117720183.

It is an arithmetic number, because the mean of its divisors is an integer number (659874772800).

Almost surely, 2^{10100122321001} is an apocalyptic number.

It is an amenable number.

10100122321001 is a deficient number, since it is larger than the sum of its proper divisors (457874043799).

10100122321001 is an equidigital number, since it uses as much as digits as its factorization.

10100122321001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94888.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10100122321001 its reverse (10012322100101), we get a palindrome (20112444421102).

The spelling of 10100122321001 in words is "ten trillion, one hundred billion, one hundred twenty-two million, three hundred twenty-one thousand, one".