100101010110041 has 2 divisors, whose sum is σ = 100101010110042. Its totient is φ = 100101010110040.

The previous prime is 100101010109999. The next prime is 100101010110083. The reversal of 100101010110041 is 140011010101001.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (100101010109999) and next prime (100101010110083).

It can be written as a sum of positive squares in only one way, i.e., 57467997985225 + 42633012124816 = 7580765^2 + 6529396^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100101010110041 is a prime.

It is not a weakly prime, because it can be changed into another prime (100101010110841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050505055020 + 50050505055021.

It is an arithmetic number, because the mean of its divisors is an integer number (50050505055021).

Almost surely, 2^{100101010110041} is an apocalyptic number.

It is an amenable number.

100101010110041 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101010110041 is an equidigital number, since it uses as much as digits as its factorization.

100101010110041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100101010110041 its reverse (140011010101001), we get a palindrome (240112020211042).

The spelling of 100101010110041 in words is "one hundred trillion, one hundred one billion, ten million, one hundred ten thousand, forty-one".