10002111010011 has 24 divisors (see below), whose sum is σ = 14685908076944. Its totient is φ = 6558059972160.

The previous prime is 10002111009983. The next prime is 10002111010027. The reversal of 10002111010011 is 11001011120001.

It is a de Polignac number, because none of the positive numbers 2^k-10002111010011 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002111009975 and 10002111010002.

It is not an unprimeable number, because it can be changed into a prime (10002111010081) 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, 4189560 + ... + 6128346.

Almost surely, 2^{10002111010011} is an apocalyptic number.

10002111010011 is a deficient number, since it is larger than the sum of its proper divisors (4683797066933).

10002111010011 is a wasteful number, since it uses less digits than its factorization.

10002111010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948251 (or 1948248 counting only the distinct ones).

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

Adding to 10002111010011 its reverse (11001011120001), we get a palindrome (21003122130012).

The spelling of 10002111010011 in words is "ten trillion, two billion, one hundred eleven million, ten thousand, eleven".