10002100016 has 20 divisors (see below), whose sum is σ = 19382649312. Its totient is φ = 5000126016.

The previous prime is 10002099979. The next prime is 10002100027. The reversal of 10002100016 is 61000120001.

10002100016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10002100016³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36185 + ... + 145991.

Almost surely, 2^10002100016 is an apocalyptic number.

10002100016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10002100016 is a deficient number, since it is larger than the sum of its proper divisors (9380549296).

10002100016 is a wasteful number, since it uses less digits than its factorization.

10002100016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115508 (or 115502 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10002100016 its reverse (61000120001), we get a palindrome (71002220017).

The spelling of 10002100016 in words is "ten billion, two million, one hundred thousand, sixteen".