201100212121 has 2 divisors, whose sum is σ = 201100212122. Its totient is φ = 201100212120.

The previous prime is 201100212119. The next prime is 201100212149. The reversal of 201100212121 is 121212001102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118429586496 + 82670625625 = 344136^2 + 287525^2 .

It is a cyclic number.

It is not a de Polignac number, because 201100212121 - 2¹ = 201100212119 is a prime.

It is a super-2 number, since 2×201100212121² (a number of 23 digits) contains 22 as substring.

Together with 201100212119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (201100212421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100550106060 + 100550106061.

It is an arithmetic number, because the mean of its divisors is an integer number (100550106061).

Almost surely, 2^201100212121 is an apocalyptic number.

It is an amenable number.

201100212121 is a deficient number, since it is larger than the sum of its proper divisors (1).

201100212121 is an equidigital number, since it uses as much as digits as its factorization.

201100212121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201100212121 its reverse (121212001102), we get a palindrome (322312213223).

The spelling of 201100212121 in words is "two hundred one billion, one hundred million, two hundred twelve thousand, one hundred twenty-one".