212101011021121 has 8 divisors (see below), whose sum is σ = 212121072038664. Its totient is φ = 212080950681600.

The previous prime is 212101011021103. The next prime is 212101011021143. The reversal of 212101011021121 is 121120110101212.

212101011021121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 71760619514896 + 140340391506225 = 8471164^2 + 11846535^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 212101011021121 - 2²⁷ = 212100876803393 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212101011021095 and 212101011021104.

It is not an unprimeable number, because it can be changed into a prime (212101011021101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 794844921 + ... + 795111721.

It is an arithmetic number, because the mean of its divisors is an integer number (26515134004833).

Almost surely, 2^{212101011021121} is an apocalyptic number.

It is an amenable number.

212101011021121 is a deficient number, since it is larger than the sum of its proper divisors (20061017543).

212101011021121 is a wasteful number, since it uses less digits than its factorization.

212101011021121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339011.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 212101011021121 its reverse (121120110101212), we get a palindrome (333221121122333).

The spelling of 212101011021121 in words is "two hundred twelve trillion, one hundred one billion, eleven million, twenty-one thousand, one hundred twenty-one".