211010202122121 has 36 divisors (see below), whose sum is σ = 332526837370572. Its totient is φ = 128820218724864.

The previous prime is 211010202122119. The next prime is 211010202122131. The reversal of 211010202122121 is 121221202010112.

211010202122121 is a `hidden beast` number, since 211 + 0 + 10 + 20 + 212 + 212 + 1 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 130255176617721 + 80755025504400 = 11412939^2 + 8986380^2 .

It is not a de Polignac number, because 211010202122121 - 2¹ = 211010202122119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211010202122094 and 211010202122103.

It is not an unprimeable number, because it can be changed into a prime (211010202122131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1096208730 + ... + 1096401203.

It is an arithmetic number, because the mean of its divisors is an integer number (9236856593627).

Almost surely, 2^{211010202122121} is an apocalyptic number.

It is an amenable number.

211010202122121 is a deficient number, since it is larger than the sum of its proper divisors (121516635248451).

211010202122121 is a wasteful number, since it uses less digits than its factorization.

211010202122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192610010 (or 2192609990 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211010202122121 its reverse (121221202010112), we get a palindrome (332231404132233).

The spelling of 211010202122121 in words is "two hundred eleven trillion, ten billion, two hundred two million, one hundred twenty-two thousand, one hundred twenty-one".