10012101010001 has 2 divisors, whose sum is σ = 10012101010002. Its totient is φ = 10012101010000.

The previous prime is 10012101009983. The next prime is 10012101010061. The reversal of 10012101010001 is 10001010121001.

It is a happy number.

10012101010001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7297264809025 + 2714836200976 = 2701345^2 + 1647676^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012101010001 - 2¹⁴ = 10012100993617 is a prime.

It is a super-4 number, since 4×10012101010001⁴ (a number of 53 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (10012101010061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006050505000 + 5006050505001.

It is an arithmetic number, because the mean of its divisors is an integer number (5006050505001).

Almost surely, 2^{10012101010001} is an apocalyptic number.

It is an amenable number.

10012101010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012101010001 is an equidigital number, since it uses as much as digits as its factorization.

10012101010001 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 8.

Adding to 10012101010001 its reverse (10001010121001), we get a palindrome (20013111131002).

The spelling of 10012101010001 in words is "ten trillion, twelve billion, one hundred one million, ten thousand, one".