10013021401001 has 2 divisors, whose sum is σ = 10013021401002. Its totient is φ = 10013021401000.

The previous prime is 10013021400989. The next prime is 10013021401043. The reversal of 10013021401001 is 10010412031001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7707847242601 + 2305174158400 = 2776301^2 + 1518280^2 .

It is a cyclic number.

It is not a de Polignac number, because 10013021401001 - 2¹⁴ = 10013021384617 is a prime.

It is not a weakly prime, because it can be changed into another prime (10013021401091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006510700500 + 5006510700501.

It is an arithmetic number, because the mean of its divisors is an integer number (5006510700501).

Almost surely, 2^{10013021401001} is an apocalyptic number.

It is an amenable number.

10013021401001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013021401001 is an equidigital number, since it uses as much as digits as its factorization.

10013021401001 is an evil number, because the sum of its binary digits is even.

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

Adding to 10013021401001 its reverse (10010412031001), we get a palindrome (20023433432002).

The spelling of 10013021401001 in words is "ten trillion, thirteen billion, twenty-one million, four hundred one thousand, one".