101241001 has 8 divisors (see below), whose sum is σ = 110893320. Its totient is φ = 91999488.

The previous prime is 101240989. The next prime is 101241011. The reversal of 101241001 is 100142101.

It can be written as a sum of positive squares in 4 ways, for example, as 33918976 + 67322025 = 5824^2 + 8205^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101241001 - 2¹⁷ = 101109929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101241011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102186 + ... + 103171.

It is an arithmetic number, because the mean of its divisors is an integer number (13861665).

Almost surely, 2^101241001 is an apocalyptic number.

It is an amenable number.

101241001 is a deficient number, since it is larger than the sum of its proper divisors (9652319).

101241001 is a wasteful number, since it uses less digits than its factorization.

101241001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205403.

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

The square root of 101241001 is about 10061.8587249076. The cubic root of 101241001 is about 466.0710670962.

Adding to 101241001 its reverse (100142101), we get a palindrome (201383102).

The spelling of 101241001 in words is "one hundred one million, two hundred forty-one thousand, one".