10012110010011 has 24 divisors (see below), whose sum is σ = 14985271217280. Its totient is φ = 6433959361536.

The previous prime is 10012110010003. The next prime is 10012110010027. The reversal of 10012110010011 is 11001001121001.

It is not a de Polignac number, because 10012110010011 - 2³ = 10012110010003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10012110009975 and 10012110010002.

It is not an unprimeable number, because it can be changed into a prime (10012110010031) 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 23 ways as a sum of consecutive naturals, for example, 31440070 + ... + 31756923.

It is an arithmetic number, because the mean of its divisors is an integer number (624386300720).

Almost surely, 2^{10012110010011} is an apocalyptic number.

10012110010011 is a deficient number, since it is larger than the sum of its proper divisors (4973161207269).

10012110010011 is a wasteful number, since it uses less digits than its factorization.

10012110010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63197635 (or 63197632 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10012110010011 its reverse (11001001121001), we get a palindrome (21013111131012).

The spelling of 10012110010011 in words is "ten trillion, twelve billion, one hundred ten million, ten thousand, eleven".