201011011122121 has 2 divisors, whose sum is σ = 201011011122122. Its totient is φ = 201011011122120.

The previous prime is 201011011122113. The next prime is 201011011122139. The reversal of 201011011122121 is 121221110110102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 194102713805625 + 6908297316496 = 13932075^2 + 2628364^2 .

It is a cyclic number.

It is not a de Polignac number, because 201011011122121 - 2³ = 201011011122113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201011011122095 and 201011011122104.

It is not a weakly prime, because it can be changed into another prime (201011011122421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100505505561060 + 100505505561061.

It is an arithmetic number, because the mean of its divisors is an integer number (100505505561061).

Almost surely, 2^{201011011122121} is an apocalyptic number.

It is an amenable number.

201011011122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

201011011122121 is an equidigital number, since it uses as much as digits as its factorization.

201011011122121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 201011011122121 its reverse (121221110110102), we get a palindrome (322232121232223).

The spelling of 201011011122121 in words is "two hundred one trillion, eleven billion, eleven million, one hundred twenty-two thousand, one hundred twenty-one".