201122111001121 has 2 divisors, whose sum is σ = 201122111001122. Its totient is φ = 201122111001120.

The previous prime is 201122111001113. The next prime is 201122111001137. The reversal of 201122111001121 is 121100111221102.

It is an a-pointer prime, because the next prime (201122111001137) can be obtained adding 201122111001121 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 164472647946721 + 36649463054400 = 12824689^2 + 6053880^2 .

It is a cyclic number.

It is not a de Polignac number, because 201122111001121 - 2³ = 201122111001113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201122111001095 and 201122111001104.

It is not a weakly prime, because it can be changed into another prime (201122111001101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100561055500560 + 100561055500561.

It is an arithmetic number, because the mean of its divisors is an integer number (100561055500561).

Almost surely, 2^{201122111001121} is an apocalyptic number.

It is an amenable number.

201122111001121 is a deficient number, since it is larger than the sum of its proper divisors (1).

201122111001121 is an equidigital number, since it uses as much as digits as its factorization.

201122111001121 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 201122111001121 its reverse (121100111221102), we get a palindrome (322222222222223).

The spelling of 201122111001121 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred eleven million, one thousand, one hundred twenty-one".