101110010041 has 2 divisors, whose sum is σ = 101110010042. Its totient is φ = 101110010040.

The previous prime is 101110009939. The next prime is 101110010051. The reversal of 101110010041 is 140010011101.

It is an a-pointer prime, because the next prime (101110010051) can be obtained adding 101110010041 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80086170025 + 21023840016 = 282995^2 + 144996^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110010041 - 2¹⁵ = 101109977273 is a prime.

It is a super-2 number, since 2×101110010041² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101110010051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555005020 + 50555005021.

It is an arithmetic number, because the mean of its divisors is an integer number (50555005021).

Almost surely, 2^101110010041 is an apocalyptic number.

It is an amenable number.

101110010041 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110010041 is an equidigital number, since it uses as much as digits as its factorization.

101110010041 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 10.

Adding to 101110010041 its reverse (140010011101), we get a palindrome (241120021142).

The spelling of 101110010041 in words is "one hundred one billion, one hundred ten million, ten thousand, forty-one".