10101001601 has 2 divisors, whose sum is σ = 10101001602. Its totient is φ = 10101001600.

The previous prime is 10101001583. The next prime is 10101001607. The reversal of 10101001601 is 10610010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10000200001 + 100801600 = 100001^2 + 10040^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101001601 - 2¹⁸ = 10100739457 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10101001607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050500800 + 5050500801.

It is an arithmetic number, because the mean of its divisors is an integer number (5050500801).

Almost surely, 2^10101001601 is an apocalyptic number.

It is an amenable number.

10101001601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101001601 is an equidigital number, since it uses as much as digits as its factorization.

10101001601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10101001601 its reverse (10610010101), we get a palindrome (20711011702).

The spelling of 10101001601 in words is "ten billion, one hundred one million, one thousand, six hundred one".