10000101001201 has 2 divisors, whose sum is σ = 10000101001202. Its totient is φ = 10000101001200.

The previous prime is 10000101001169. The next prime is 10000101001211. The reversal of 10000101001201 is 10210010100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9897316000000 + 102785001201 = 3146000^2 + 320601^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000101001201 - 2⁵ = 10000101001169 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000101001211) 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, 5000050500600 + 5000050500601.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050500601).

Almost surely, 2^{10000101001201} is an apocalyptic number.

It is an amenable number.

10000101001201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000101001201 is an equidigital number, since it uses as much as digits as its factorization.

10000101001201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10000101001201 its reverse (10210010100001), we get a palindrome (20210111101202).

The spelling of 10000101001201 in words is "ten trillion, one hundred one million, one thousand, two hundred one".