10010001102001 has 2 divisors, whose sum is σ = 10010001102002. Its totient is φ = 10010001102000.

The previous prime is 10010001101999. The next prime is 10010001102139. The reversal of 10010001102001 is 10020110001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8531160264225 + 1478840837776 = 2920815^2 + 1216076^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010001102001 - 2¹ = 10010001101999 is a prime.

It is a super-2 number, since 2×10010001102001² (a number of 27 digits) contains 22 as substring.

Together with 10010001101999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10010001502001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005000551000 + 5005000551001.

It is an arithmetic number, because the mean of its divisors is an integer number (5005000551001).

Almost surely, 2^{10010001102001} is an apocalyptic number.

It is an amenable number.

10010001102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010001102001 is an equidigital number, since it uses as much as digits as its factorization.

10010001102001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10010001102001 its reverse (10020110001001), we get a palindrome (20030111103002).

The spelling of 10010001102001 in words is "ten trillion, ten billion, one million, one hundred two thousand, one".