30000133122101 has 2 divisors, whose sum is σ = 30000133122102. Its totient is φ = 30000133122100.

The previous prime is 30000133122061. The next prime is 30000133122103. The reversal of 30000133122101 is 10122133100003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17867520546001 + 12132612576100 = 4226999^2 + 3483190^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-30000133122101 is a prime.

Together with 30000133122103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 30000133122101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (30000133122103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15000066561050 + 15000066561051.

It is an arithmetic number, because the mean of its divisors is an integer number (15000066561051).

Almost surely, 2^{30000133122101} is an apocalyptic number.

It is an amenable number.

30000133122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

30000133122101 is an equidigital number, since it uses as much as digits as its factorization.

30000133122101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 30000133122101 its reverse (10122133100003), we get a palindrome (40122266222104).

The spelling of 30000133122101 in words is "thirty trillion, one hundred thirty-three million, one hundred twenty-two thousand, one hundred one".