10021002114401 has 2 divisors, whose sum is σ = 10021002114402. Its totient is φ = 10021002114400.

The previous prime is 10021002114373. The next prime is 10021002114481. The reversal of 10021002114401 is 10441120012001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9952920780625 + 68081333776 = 3154825^2 + 260924^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021002114401 - 2⁶ = 10021002114337 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10021002114401.

It is not a weakly prime, because it can be changed into another prime (10021002114481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010501057200 + 5010501057201.

It is an arithmetic number, because the mean of its divisors is an integer number (5010501057201).

Almost surely, 2^{10021002114401} is an apocalyptic number.

It is an amenable number.

10021002114401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021002114401 is an equidigital number, since it uses as much as digits as its factorization.

10021002114401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10021002114401 its reverse (10441120012001), we get a palindrome (20462122126402).

The spelling of 10021002114401 in words is "ten trillion, twenty-one billion, two million, one hundred fourteen thousand, four hundred one".