100111050601 has 2 divisors, whose sum is σ = 100111050602. Its totient is φ = 100111050600.

The previous prime is 100111050527. The next prime is 100111050617. The reversal of 100111050601 is 106050111001.

It is an a-pointer prime, because the next prime (100111050617) can be obtained adding 100111050601 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93810501225 + 6300549376 = 306285^2 + 79376^2 .

It is an emirp because it is prime and its reverse (106050111001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100111050601 is a prime.

It is a super-4 number, since 4×100111050601⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (100111050001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055525300 + 50055525301.

It is an arithmetic number, because the mean of its divisors is an integer number (50055525301).

Almost surely, 2^100111050601 is an apocalyptic number.

It is an amenable number.

100111050601 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111050601 is an equidigital number, since it uses as much as digits as its factorization.

100111050601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 100111050601 its reverse (106050111001), we get a palindrome (206161161602).

The spelling of 100111050601 in words is "one hundred billion, one hundred eleven million, fifty thousand, six hundred one".