100001241 has 12 divisors (see below), whose sum is σ = 144545700. Its totient is φ = 66621600.

The previous prime is 100001227. The next prime is 100001303. The reversal of 100001241 is 142100001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 82737216 + 17264025 = 9096^2 + 4155^2 .

It is not a de Polignac number, because 100001241 - 2⁶ = 100001177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100006241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14691 + ... + 20391.

It is an arithmetic number, because the mean of its divisors is an integer number (12045475).

Almost surely, 2^100001241 is an apocalyptic number.

It is an amenable number.

100001241 is a deficient number, since it is larger than the sum of its proper divisors (44544459).

100001241 is a wasteful number, since it uses less digits than its factorization.

100001241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7656 (or 7653 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 100001241 is about 10000.0620498075. The cubic root of 100001241 is about 464.1608034239.

Adding to 100001241 its reverse (142100001), we get a palindrome (242101242).

The spelling of 100001241 in words is "one hundred million, one thousand, two hundred forty-one".