20100001222001 has 2 divisors, whose sum is σ = 20100001222002. Its totient is φ = 20100001222000.

The previous prime is 20100001221991. The next prime is 20100001222009. The reversal of 20100001222001 is 10022210000102.

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., 18676883448976 + 1423117773025 = 4321676^2 + 1192945^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20100001222001 is a prime.

It is not a weakly prime, because it can be changed into another prime (20100001222009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050000611000 + 10050000611001.

It is an arithmetic number, because the mean of its divisors is an integer number (10050000611001).

Almost surely, 2^{20100001222001} is an apocalyptic number.

It is an amenable number.

20100001222001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20100001222001 is an equidigital number, since it uses as much as digits as its factorization.

20100001222001 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 20100001222001 its reverse (10022210000102), we get a palindrome (30122211222103).

The spelling of 20100001222001 in words is "twenty trillion, one hundred billion, one million, two hundred twenty-two thousand, one".