100100241 has 24 divisors (see below), whose sum is σ = 147865536. Its totient is φ = 65239200.

The previous prime is 100100239. The next prime is 100100243. The reversal of 100100241 is 142001001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100100239) and next prime (100100243).

It is not a de Polignac number, because 100100241 - 2¹ = 100100239 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 (100100243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76291 + ... + 77591.

It is an arithmetic number, because the mean of its divisors is an integer number (6161064).

Almost surely, 2^100100241 is an apocalyptic number.

It is an amenable number.

100100241 is a deficient number, since it is larger than the sum of its proper divisors (47765295).

100100241 is a wasteful number, since it uses less digits than its factorization.

100100241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1490 counting only the distinct ones).

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

The square root of 100100241 is about 10005.0107945969. The cubic root of 100100241 is about 464.3139240701.

Adding to 100100241 its reverse (142001001), we get a palindrome (242101242).

The spelling of 100100241 in words is "one hundred million, one hundred thousand, two hundred forty-one".