201000100011121 has 2 divisors, whose sum is σ = 201000100011122. Its totient is φ = 201000100011120.

The previous prime is 201000100011089. The next prime is 201000100011131. The reversal of 201000100011121 is 121110001000102.

It is an a-pointer prime, because the next prime (201000100011131) can be obtained adding 201000100011121 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105893134812721 + 95106965198400 = 10290439^2 + 9752280^2 .

It is a cyclic number.

It is not a de Polignac number, because 201000100011121 - 2⁵ = 201000100011089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201000100011098 and 201000100011107.

It is not a weakly prime, because it can be changed into another prime (201000100011131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100500050005560 + 100500050005561.

It is an arithmetic number, because the mean of its divisors is an integer number (100500050005561).

Almost surely, 2^{201000100011121} is an apocalyptic number.

It is an amenable number.

201000100011121 is a deficient number, since it is larger than the sum of its proper divisors (1).

201000100011121 is an equidigital number, since it uses as much as digits as its factorization.

201000100011121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 201000100011121 its reverse (121110001000102), we get a palindrome (322110101011223).

The spelling of 201000100011121 in words is "two hundred one trillion, one hundred million, eleven thousand, one hundred twenty-one".