10001111010101 has 16 divisors (see below), whose sum is σ = 10632237396480. Its totient is φ = 9374808871680.

The previous prime is 10001111009993. The next prime is 10001111010131. The reversal of 10001111010101 is 10101011110001.

It is a cyclic number.

It is not a de Polignac number, because 10001111010101 - 2²⁶ = 10001043901237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001111010131) 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 15 ways as a sum of consecutive naturals, for example, 3836036 + ... + 5892146.

It is an arithmetic number, because the mean of its divisors is an integer number (664514837280).

Almost surely, 2^{10001111010101} is an apocalyptic number.

It is an amenable number.

10001111010101 is a deficient number, since it is larger than the sum of its proper divisors (631126386379).

10001111010101 is a wasteful number, since it uses less digits than its factorization.

10001111010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057284.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10001111010101 its reverse (10101011110001), we get a palindrome (20102122120102).

The spelling of 10001111010101 in words is "ten trillion, one billion, one hundred eleven million, ten thousand, one hundred one".