211100211021 has 8 divisors (see below), whose sum is σ = 321676512064. Its totient is φ = 120628692000.

The previous prime is 211100211011. The next prime is 211100211029. The reversal of 211100211021 is 120112001112.

211100211021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 211100211021 - 2⁹ = 211100210509 is a prime.

It is a super-2 number, since 2×211100211021² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211100210988 and 211100211006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211100211029) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5026195480 + ... + 5026195521.

It is an arithmetic number, because the mean of its divisors is an integer number (40209564008).

Almost surely, 2^211100211021 is an apocalyptic number.

211100211021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211100211021 is a deficient number, since it is larger than the sum of its proper divisors (110576301043).

211100211021 is a wasteful number, since it uses less digits than its factorization.

211100211021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10052391011.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211100211021 its reverse (120112001112), we get a palindrome (331212212133).

The spelling of 211100211021 in words is "two hundred eleven billion, one hundred million, two hundred eleven thousand, twenty-one".