10010102011601 has 2 divisors, whose sum is σ = 10010102011602. Its totient is φ = 10010102011600.

The previous prime is 10010102011579. The next prime is 10010102011603. The reversal of 10010102011601 is 10611020101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9768431451601 + 241670560000 = 3125449^2 + 491600^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010102011601 - 2¹⁰ = 10010102010577 is a prime.

Together with 10010102011603, 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 (10010102011603) 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, 5005051005800 + 5005051005801.

It is an arithmetic number, because the mean of its divisors is an integer number (5005051005801).

Almost surely, 2^{10010102011601} is an apocalyptic number.

It is an amenable number.

10010102011601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010102011601 is an equidigital number, since it uses as much as digits as its factorization.

10010102011601 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 14.

Adding to 10010102011601 its reverse (10611020101001), we get a palindrome (20621122112602).

The spelling of 10010102011601 in words is "ten trillion, ten billion, one hundred two million, eleven thousand, six hundred one".