101344244001 has 64 divisors (see below), whose sum is σ = 190976378880. Its totient is φ = 46038896640.

The previous prime is 101344243993. The next prime is 101344244047. The reversal of 101344244001 is 100442443101.

It is not a de Polignac number, because 101344244001 - 2³ = 101344243993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101344244101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 831040 + ... + 945153.

It is an arithmetic number, because the mean of its divisors is an integer number (2984005920).

Almost surely, 2^101344244001 is an apocalyptic number.

101344244001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101344244001 is a deficient number, since it is larger than the sum of its proper divisors (89632134879).

101344244001 is a wasteful number, since it uses less digits than its factorization.

101344244001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776246.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 101344244001 its reverse (100442443101), we get a palindrome (201786687102).

Subtracting from 101344244001 its reverse (100442443101), we obtain a square (901800900 = 30030²).

The spelling of 101344244001 in words is "one hundred one billion, three hundred forty-four million, two hundred forty-four thousand, one".