10101011010001 has 2 divisors, whose sum is σ = 10101011010002. Its totient is φ = 10101011010000.

The previous prime is 10101011009981. The next prime is 10101011010011. The reversal of 10101011010001 is 10001011010101.

It is a happy number.

10101011010001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7754526243025 + 2346484766976 = 2784695^2 + 1531824^2 .

It is an emirp because it is prime and its reverse (10001011010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10101011010001 - 2¹⁷ = 10101010878929 is a prime.

It is a super-2 number, since 2×10101011010001² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10101011010011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050505505000 + 5050505505001.

It is an arithmetic number, because the mean of its divisors is an integer number (5050505505001).

Almost surely, 2^{10101011010001} is an apocalyptic number.

It is an amenable number.

10101011010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101011010001 is an equidigital number, since it uses as much as digits as its factorization.

10101011010001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10101011010001 its reverse (10001011010101), we get a palindrome (20102022020102).

The spelling of 10101011010001 in words is "ten trillion, one hundred one billion, eleven million, ten thousand, one".