100101601 has 2 divisors, whose sum is σ = 100101602. Its totient is φ = 100101600.

The previous prime is 100101581. The next prime is 100101607. The reversal of 100101601 is 106101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92621376 + 7480225 = 9624^2 + 2735^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100101601 is a prime.

It is not a weakly prime, because it can be changed into another prime (100101607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050800 + 50050801.

It is an arithmetic number, because the mean of its divisors is an integer number (50050801).

Almost surely, 2^100101601 is an apocalyptic number.

It is an amenable number.

100101601 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101601 is an equidigital number, since it uses as much as digits as its factorization.

100101601 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.

The square root of 100101601 is about 10005.0787603097. The cubic root of 100101601 is about 464.3160268425.

Adding to 100101601 its reverse (106101001), we get a palindrome (206202602).

It can be divided in two parts, 10010 and 1601, that added together give a palindrome (11611).

The spelling of 100101601 in words is "one hundred million, one hundred one thousand, six hundred one".