10002111100011 has 12 divisors (see below), whose sum is σ = 14945683253280. Its totient is φ = 6438140478000.

The previous prime is 10002111100001. The next prime is 10002111100013. The reversal of 10002111100011 is 11000111120001.

It is not a de Polignac number, because 10002111100011 - 2¹⁵ = 10002111067243 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 = 10002111099966 and 10002111100002.

It is not an unprimeable number, because it can be changed into a prime (10002111100013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19161132115 + ... + 19161132636.

It is an arithmetic number, because the mean of its divisors is an integer number (1245473604440).

Almost surely, 2^{10002111100011} is an apocalyptic number.

10002111100011 is a deficient number, since it is larger than the sum of its proper divisors (4943572153269).

10002111100011 is a wasteful number, since it uses less digits than its factorization.

10002111100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38322264786 (or 38322264783 counting only the distinct ones).

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

Adding to 10002111100011 its reverse (11000111120001), we get a palindrome (21002222220012).

The spelling of 10002111100011 in words is "ten trillion, two billion, one hundred eleven million, one hundred thousand, eleven".