101004344001 has 12 divisors (see below), whose sum is σ = 159158360400. Its totient is φ = 61214753880.

The previous prime is 101004343969. The next prime is 101004344003. The reversal of 101004344001 is 100443400101.

It is not a de Polignac number, because 101004344001 - 2⁵ = 101004343969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101004344003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 510122851 + ... + 510123048.

It is an arithmetic number, because the mean of its divisors is an integer number (13263196700).

Almost surely, 2^101004344001 is an apocalyptic number.

101004344001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101004344001 is a deficient number, since it is larger than the sum of its proper divisors (58154016399).

101004344001 is a wasteful number, since it uses less digits than its factorization.

101004344001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020245916 (or 1020245913 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101004344001 its reverse (100443400101), we get a palindrome (201447744102).

The spelling of 101004344001 in words is "one hundred one billion, four million, three hundred forty-four thousand, one".