10011013010111 has 16 divisors (see below), whose sum is σ = 10194984588096. Its totient is φ = 9828241920000.

The previous prime is 10011013010099. The next prime is 10011013010123. The reversal of 10011013010111 is 11101031011001.

It is an interprime number because it is at equal distance from previous prime (10011013010099) and next prime (10011013010123).

It is a cyclic number.

It is not a de Polignac number, because 10011013010111 - 2¹⁰ = 10011013009087 is a prime.

It is a super-2 number, since 2×10011013010111² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011013010092 and 10011013010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011013012111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375761351 + ... + 375787991.

It is an arithmetic number, because the mean of its divisors is an integer number (637186536756).

Almost surely, 2^{10011013010111} is an apocalyptic number.

10011013010111 is a deficient number, since it is larger than the sum of its proper divisors (183971577985).

10011013010111 is a wasteful number, since it uses less digits than its factorization.

10011013010111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48914.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 10011013010111 its reverse (11101031011001), we get a palindrome (21112044021112).

The spelling of 10011013010111 in words is "ten trillion, eleven billion, thirteen million, ten thousand, one hundred eleven".