211121225101 has 2 divisors, whose sum is σ = 211121225102. Its totient is φ = 211121225100.

The previous prime is 211121225099. The next prime is 211121225111. The reversal of 211121225101 is 101522121112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127541836900 + 83579388201 = 357130^2 + 289101^2 .

It is a cyclic number.

It is not a de Polignac number, because 211121225101 - 2¹ = 211121225099 is a prime.

It is a super-2 number, since 2×211121225101² (a number of 23 digits) contains 22 as substring.

Together with 211121225099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211121225111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105560612550 + 105560612551.

It is an arithmetic number, because the mean of its divisors is an integer number (105560612551).

Almost surely, 2^211121225101 is an apocalyptic number.

It is an amenable number.

211121225101 is a deficient number, since it is larger than the sum of its proper divisors (1).

211121225101 is an equidigital number, since it uses as much as digits as its factorization.

211121225101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80, while the sum is 19.

Adding to 211121225101 its reverse (101522121112), we get a palindrome (312643346213).

The spelling of 211121225101 in words is "two hundred eleven billion, one hundred twenty-one million, two hundred twenty-five thousand, one hundred one".