211100120192 has 64 divisors (see below), whose sum is σ = 455613681600. Its totient is φ = 96847279104.

The previous prime is 211100120183. The next prime is 211100120197. The reversal of 211100120192 is 291021001112.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×211100120192⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (211100120197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101942 + ... + 657717.

It is an arithmetic number, because the mean of its divisors is an integer number (7118963775).

Almost surely, 2^211100120192 is an apocalyptic number.

It is an amenable number.

211100120192 is an abundant number, since it is smaller than the sum of its proper divisors (244513561408).

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

211100120192 is a wasteful number, since it uses less digits than its factorization.

211100120192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759853 (or 759841 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 211100120192 in words is "two hundred eleven billion, one hundred million, one hundred twenty thousand, one hundred ninety-two".