41100102101 has 2 divisors, whose sum is σ = 41100102102. Its totient is φ = 41100102100.

The previous prime is 41100102089. The next prime is 41100102107. The reversal of 41100102101 is 10120100114.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25475352100 + 15624750001 = 159610^2 + 124999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-41100102101 is a prime.

It is a super-2 number, since 2×41100102101² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41100102107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20550051050 + 20550051051.

It is an arithmetic number, because the mean of its divisors is an integer number (20550051051).

Almost surely, 2^41100102101 is an apocalyptic number.

It is an amenable number.

41100102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

41100102101 is an equidigital number, since it uses as much as digits as its factorization.

41100102101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 41100102101 its reverse (10120100114), we get a palindrome (51220202215).

The spelling of 41100102101 in words is "forty-one billion, one hundred million, one hundred two thousand, one hundred one".