3000100122001 has 2 divisors, whose sum is σ = 3000100122002. Its totient is φ = 3000100122000.

The previous prime is 3000100121933. The next prime is 3000100122013. The reversal of 3000100122001 is 1002210010003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3000087269776 + 12852225 = 1732076^2 + 3585^2 .

It is a cyclic number.

It is not a de Polignac number, because 3000100122001 - 2²⁹ = 2999563251089 is a prime.

It is not a weakly prime, because it can be changed into another prime (3000100122091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1500050061000 + 1500050061001.

It is an arithmetic number, because the mean of its divisors is an integer number (1500050061001).

Almost surely, 2^{3000100122001} is an apocalyptic number.

It is an amenable number.

3000100122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

3000100122001 is an equidigital number, since it uses as much as digits as its factorization.

3000100122001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 3000100122001 its reverse (1002210010003), we get a palindrome (4002310132004).

The spelling of 3000100122001 in words is "three trillion, one hundred million, one hundred twenty-two thousand, one".