101144001 has 16 divisors (see below), whose sum is σ = 154600448. Its totient is φ = 57618000.

The previous prime is 101143993. The next prime is 101144003. The reversal of 101144001 is 100441101.

It is not a de Polignac number, because 101144001 - 2³ = 101143993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101144003) 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, 325 + ... + 14226.

It is an arithmetic number, because the mean of its divisors is an integer number (9662528).

Almost surely, 2^101144001 is an apocalyptic number.

It is an amenable number.

101144001 is a deficient number, since it is larger than the sum of its proper divisors (53456447).

101144001 is a wasteful number, since it uses less digits than its factorization.

101144001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14892.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 101144001 is about 10057.0373868252. The cubic root of 101144001 is about 465.9221704399.

Adding to 101144001 its reverse (100441101), we get a palindrome (201585102).

The spelling of 101144001 in words is "one hundred one million, one hundred forty-four thousand, one".