10111257601 has 2 divisors, whose sum is σ = 10111257602. Its totient is φ = 10111257600.

The previous prime is 10111257587. The next prime is 10111257641. The reversal of 10111257601 is 10675211101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9764404225 + 346853376 = 98815^2 + 18624^2 .

It is an emirp because it is prime and its reverse (10675211101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10111257601 is a prime.

It is not a weakly prime, because it can be changed into another prime (10111257641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055628800 + 5055628801.

It is an arithmetic number, because the mean of its divisors is an integer number (5055628801).

Almost surely, 2^10111257601 is an apocalyptic number.

It is an amenable number.

10111257601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111257601 is an equidigital number, since it uses as much as digits as its factorization.

10111257601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 420, while the sum is 25.

Adding to 10111257601 its reverse (10675211101), we get a palindrome (20786468702).

The spelling of 10111257601 in words is "ten billion, one hundred eleven million, two hundred fifty-seven thousand, six hundred one".