10100010601 has 2 divisors, whose sum is σ = 10100010602. Its totient is φ = 10100010600.

The previous prime is 10100010593. The next prime is 10100010617. The reversal of 10100010601 is 10601000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10064904976 + 35105625 = 100324^2 + 5925^2 .

It is an emirp because it is prime and its reverse (10601000101) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 10901000101 and 10100010901.

It is a cyclic number.

It is not a de Polignac number, because 10100010601 - 2³ = 10100010593 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100010901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050005300 + 5050005301.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005301).

Almost surely, 2^10100010601 is an apocalyptic number.

It is an amenable number.

10100010601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100010601 is an equidigital number, since it uses as much as digits as its factorization.

10100010601 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 10.

Adding to 10100010601 its reverse (10601000101), we get a palindrome (20701010702).

The spelling of 10100010601 in words is "ten billion, one hundred million, ten thousand, six hundred one".