201101002121141 has 2 divisors, whose sum is σ = 201101002121142. Its totient is φ = 201101002121140.

The previous prime is 201101002121087. The next prime is 201101002121161. The reversal of 201101002121141 is 141121200101102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 194746211522500 + 6354790598641 = 13955150^2 + 2520871^2 .

It is a cyclic number.

It is not a de Polignac number, because 201101002121141 - 2²⁶ = 201100935012277 is a prime.

It is a super-2 number, since 2×201101002121141² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201101002121161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100550501060570 + 100550501060571.

It is an arithmetic number, because the mean of its divisors is an integer number (100550501060571).

Almost surely, 2^{201101002121141} is an apocalyptic number.

It is an amenable number.

201101002121141 is a deficient number, since it is larger than the sum of its proper divisors (1).

201101002121141 is an equidigital number, since it uses as much as digits as its factorization.

201101002121141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 201101002121141 its reverse (141121200101102), we get a palindrome (342222202222243).

The spelling of 201101002121141 in words is "two hundred one trillion, one hundred one billion, two million, one hundred twenty-one thousand, one hundred forty-one".