211001100122000 has 80 divisors (see below), whose sum is σ = 510621276567792. Its totient is φ = 84330859161600.

The previous prime is 211001100121909. The next prime is 211001100122053. The reversal of 211001100122000 is 221001100112.

It can be written as a sum of positive squares in 8 ways, for example, as 155895301526416 + 55105798595584 = 12485804^2 + 7423328^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41061449 + ... + 45913448.

Almost surely, 2^{211001100122000} is an apocalyptic number.

211001100122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211001100122000 is an abundant number, since it is smaller than the sum of its proper divisors (299620176445792).

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

211001100122000 is a wasteful number, since it uses less digits than its factorization.

211001100122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86976133 (or 86976117 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211001100122000 its reverse (221001100112), we get a palindrome (211222101222112).

It can be divided in two parts, 211001 and 100122000, that added together give a palindrome (100333001).

The spelling of 211001100122000 in words is "two hundred eleven trillion, one billion, one hundred million, one hundred twenty-two thousand".