10000102002011 has 48 divisors (see below), whose sum is σ = 11145200478720. Its totient is φ = 8964964008000.

The previous prime is 10000102002001. The next prime is 10000102002073. The reversal of 10000102002011 is 11020020100001.

It is a de Polignac number, because none of the positive numbers 2^k-10000102002011 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10000102002011.

It is not an unprimeable number, because it can be changed into a prime (10000102002001) 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 47 ways as a sum of consecutive naturals, for example, 6146343380 + ... + 6146345006.

It is an arithmetic number, because the mean of its divisors is an integer number (232191676640).

Almost surely, 2^{10000102002011} is an apocalyptic number.

10000102002011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10000102002011 is a deficient number, since it is larger than the sum of its proper divisors (1145098476709).

10000102002011 is a wasteful number, since it uses less digits than its factorization.

10000102002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10000102002011 its reverse (11020020100001), we get a palindrome (21020122102012).

The spelling of 10000102002011 in words is "ten trillion, one hundred two million, two thousand, eleven".