201101100120121 has 2 divisors, whose sum is σ = 201101100120122. Its totient is φ = 201101100120120.

The previous prime is 201101100120083. The next prime is 201101100120143. The reversal of 201101100120121 is 121021001101102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 151236868665600 + 49864231454521 = 12297840^2 + 7061461^2 .

It is a cyclic number.

It is not a de Polignac number, because 201101100120121 - 2⁹ = 201101100119609 is a prime.

It is not a weakly prime, because it can be changed into another prime (201101100120821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100550550060060 + 100550550060061.

It is an arithmetic number, because the mean of its divisors is an integer number (100550550060061).

Almost surely, 2^{201101100120121} is an apocalyptic number.

It is an amenable number.

201101100120121 is a deficient number, since it is larger than the sum of its proper divisors (1).

201101100120121 is an equidigital number, since it uses as much as digits as its factorization.

201101100120121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 201101100120121 its reverse (121021001101102), we get a palindrome (322122101221223).

The spelling of 201101100120121 in words is "two hundred one trillion, one hundred one billion, one hundred million, one hundred twenty thousand, one hundred twenty-one".