101018241 has 6 divisors (see below), whose sum is σ = 145915250. Its totient is φ = 67345488.

The previous prime is 101018237. The next prime is 101018249. The reversal of 101018241 is 142810101.

It can be written as a sum of positive squares in only one way, i.e., 70812225 + 30206016 = 8415^2 + 5496^2 .

It is not a de Polignac number, because 101018241 - 2² = 101018237 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101018249) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5612116 + ... + 5612133.

Almost surely, 2^101018241 is an apocalyptic number.

It is an amenable number.

101018241 is a deficient number, since it is larger than the sum of its proper divisors (44897009).

101018241 is a wasteful number, since it uses less digits than its factorization.

101018241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11224255 (or 11224252 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 101018241 is about 10050.7831038183. The cubic root of 101018241 is about 465.7289849048.

Adding to 101018241 its reverse (142810101), we get a palindrome (243828342).

The spelling of 101018241 in words is "one hundred one million, eighteen thousand, two hundred forty-one".