101100241 has 16 divisors (see below), whose sum is σ = 118706688. Its totient is φ = 85075200.

The previous prime is 101100229. The next prime is 101100257. The reversal of 101100241 is 142001101.

It is a cyclic number.

It is not a de Polignac number, because 101100241 - 2⁷ = 101100113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101100211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6976 + ... + 15838.

It is an arithmetic number, because the mean of its divisors is an integer number (7419168).

Almost surely, 2^101100241 is an apocalyptic number.

101100241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101100241 is a deficient number, since it is larger than the sum of its proper divisors (17606447).

101100241 is a wasteful number, since it uses less digits than its factorization.

101100241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8952.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 101100241 is about 10054.8615604592. The cubic root of 101100241 is about 465.8549669311.

Adding to 101100241 its reverse (142001101), we get a palindrome (243101342).

The spelling of 101100241 in words is "one hundred one million, one hundred thousand, two hundred forty-one".