21100099967 has 16 divisors (see below), whose sum is σ = 23007628800. Its totient is φ = 19275135360.

The previous prime is 21100099961. The next prime is 21100100011. The reversal of 21100099967 is 76999000112.

It is a cyclic number.

It is not a de Polignac number, because 21100099967 - 2¹⁸ = 21099837823 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100099961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53909 + ... + 212382.

It is an arithmetic number, because the mean of its divisors is an integer number (1437976800).

Almost surely, 2^21100099967 is an apocalyptic number.

21100099967 is a deficient number, since it is larger than the sum of its proper divisors (1907528833).

21100099967 is a wasteful number, since it uses less digits than its factorization.

21100099967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266446.

The product of its (nonzero) digits is 61236, while the sum is 44.

The spelling of 21100099967 in words is "twenty-one billion, one hundred million, ninety-nine thousand, nine hundred sixty-seven".