10001010101011 has 8 divisors (see below), whose sum is σ = 10008257649264. Its totient is φ = 9993763788960.

The previous prime is 10001010101009. The next prime is 10001010101099. The reversal of 10001010101011 is 11010101010001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10001010101011 - 2¹ = 10001010101009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001010100985 and 10001010101003.

It is not an unprimeable number, because it can be changed into a prime (10001010101111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16195521 + ... + 16801693.

It is an arithmetic number, because the mean of its divisors is an integer number (1251032206158).

Almost surely, 2^{10001010101011} is an apocalyptic number.

10001010101011 is a deficient number, since it is larger than the sum of its proper divisors (7247548253).

10001010101011 is a wasteful number, since it uses less digits than its factorization.

10001010101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618101.

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

Adding to 10001010101011 its reverse (11010101010001), we get a palindrome (21011111111012).

The spelling of 10001010101011 in words is "ten trillion, one billion, ten million, one hundred one thousand, eleven".