10121142133 has 2 divisors, whose sum is σ = 10121142134. Its totient is φ = 10121142132.

The previous prime is 10121142131. The next prime is 10121142149. The reversal of 10121142133 is 33124112101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6600262564 + 3520879569 = 81242^2 + 59337^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121142133 - 2¹ = 10121142131 is a prime.

Together with 10121142131, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10121142133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121142131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060571066 + 5060571067.

It is an arithmetic number, because the mean of its divisors is an integer number (5060571067).

Almost surely, 2^10121142133 is an apocalyptic number.

It is an amenable number.

10121142133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121142133 is an equidigital number, since it uses as much as digits as its factorization.

10121142133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10121142133 its reverse (33124112101), we get a palindrome (43245254234).

The spelling of 10121142133 in words is "ten billion, one hundred twenty-one million, one hundred forty-two thousand, one hundred thirty-three".