100414242101 has 2 divisors, whose sum is σ = 100414242102. Its totient is φ = 100414242100.

The previous prime is 100414242083. The next prime is 100414242143. The reversal of 100414242101 is 101242414001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61182517201 + 39231724900 = 247351^2 + 198070^2 .

It is a cyclic number.

It is not a de Polignac number, because 100414242101 - 2⁶ = 100414242037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100414242151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50207121050 + 50207121051.

It is an arithmetic number, because the mean of its divisors is an integer number (50207121051).

Almost surely, 2^100414242101 is an apocalyptic number.

It is an amenable number.

100414242101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100414242101 is an equidigital number, since it uses as much as digits as its factorization.

100414242101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 100414242101 its reverse (101242414001), we get a palindrome (201656656102).

The spelling of 100414242101 in words is "one hundred billion, four hundred fourteen million, two hundred forty-two thousand, one hundred one".