10102011001601 has 2 divisors, whose sum is σ = 10102011001602. Its totient is φ = 10102011001600.

The previous prime is 10102011001543. The next prime is 10102011001619. The reversal of 10102011001601 is 10610011020101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6544924473025 + 3557086528576 = 2558305^2 + 1886024^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102011001601 - 2³⁸ = 9827133094657 is a prime.

It is not a weakly prime, because it can be changed into another prime (10102011001631) 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, 5051005500800 + 5051005500801.

It is an arithmetic number, because the mean of its divisors is an integer number (5051005500801).

Almost surely, 2^{10102011001601} is an apocalyptic number.

It is an amenable number.

10102011001601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102011001601 is an equidigital number, since it uses as much as digits as its factorization.

10102011001601 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 10102011001601 its reverse (10610011020101), we get a palindrome (20712022021702).

The spelling of 10102011001601 in words is "ten trillion, one hundred two billion, eleven million, one thousand, six hundred one".