211886696100 has 72 divisors (see below), whose sum is σ = 649121141088. Its totient is φ = 53179404800.

The previous prime is 211886696071. The next prime is 211886696137. The reversal of 211886696100 is 1696688112.

211886696100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 211886696100.

It is an unprimeable number.

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, 20768106 + ... + 20778305.

It is an arithmetic number, because the mean of its divisors is an integer number (9015571404).

Almost surely, 2^211886696100 is an apocalyptic number.

211886696100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211886696100 is an abundant number, since it is smaller than the sum of its proper divisors (437234444988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211886696100 is a wasteful number, since it uses less digits than its factorization.

211886696100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41546445 (or 41546438 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 211886696100 in words is "two hundred eleven billion, eight hundred eighty-six million, six hundred ninety-six thousand, one hundred".