10001211201001 has 2 divisors, whose sum is σ = 10001211201002. Its totient is φ = 10001211201000.

The previous prime is 10001211200989. The next prime is 10001211201077. The reversal of 10001211201001 is 10010211210001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7552471326976 + 2448739874025 = 2748176^2 + 1564845^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001211201001 - 2⁵ = 10001211200969 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001211205001) 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, 5000605600500 + 5000605600501.

It is an arithmetic number, because the mean of its divisors is an integer number (5000605600501).

Almost surely, 2^{10001211201001} is an apocalyptic number.

It is an amenable number.

10001211201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001211201001 is an equidigital number, since it uses as much as digits as its factorization.

10001211201001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10001211201001 its reverse (10010211210001), we get a palindrome (20011422411002).

The spelling of 10001211201001 in words is "ten trillion, one billion, two hundred eleven million, two hundred one thousand, one".