100022122001 has 2 divisors, whose sum is σ = 100022122002. Its totient is φ = 100022122000.

The previous prime is 100022121967. The next prime is 100022122003. The reversal of 100022122001 is 100221220001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68267238400 + 31754883601 = 261280^2 + 178199^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100022122001 is a prime.

Together with 100022122003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100022122003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011061000 + 50011061001.

It is an arithmetic number, because the mean of its divisors is an integer number (50011061001).

Almost surely, 2^100022122001 is an apocalyptic number.

It is an amenable number.

100022122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022122001 is an equidigital number, since it uses as much as digits as its factorization.

100022122001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100022122001 its reverse (100221220001), we get a palindrome (200243342002).

The spelling of 100022122001 in words is "one hundred billion, twenty-two million, one hundred twenty-two thousand, one".