10012011100011 has 24 divisors (see below), whose sum is σ = 14516719074000. Its totient is φ = 6649327927872.

The previous prime is 10012011099991. The next prime is 10012011100061. The reversal of 10012011100011 is 11000111021001.

It is not a de Polignac number, because 10012011100011 - 2¹⁰ = 10012011098987 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 = 10012011099966 and 10012011100002.

It is not an unprimeable number, because it can be changed into a prime (10012011100061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31262845 + ... + 31581473.

It is an arithmetic number, because the mean of its divisors is an integer number (604863294750).

Almost surely, 2^{10012011100011} is an apocalyptic number.

10012011100011 is a deficient number, since it is larger than the sum of its proper divisors (4504707973989).

10012011100011 is a wasteful number, since it uses less digits than its factorization.

10012011100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331883 (or 331880 counting only the distinct ones).

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

Adding to 10012011100011 its reverse (11000111021001), we get a palindrome (21012122121012).

The spelling of 10012011100011 in words is "ten trillion, twelve billion, eleven million, one hundred thousand, eleven".