101044420401 has 16 divisors (see below), whose sum is σ = 135139415040. Its totient is φ = 67156277760.

The previous prime is 101044420349. The next prime is 101044420403. The reversal of 101044420401 is 104024440101.

It is not a de Polignac number, because 101044420401 - 2⁷ = 101044420273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101044420403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5995056 + ... + 6011886.

It is an arithmetic number, because the mean of its divisors is an integer number (8446213440).

Almost surely, 2^101044420401 is an apocalyptic number.

It is an amenable number.

101044420401 is a deficient number, since it is larger than the sum of its proper divisors (34094994639).

101044420401 is a wasteful number, since it uses less digits than its factorization.

101044420401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22856.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 101044420401 its reverse (104024440101), we get a palindrome (205068860502).

The spelling of 101044420401 in words is "one hundred one billion, forty-four million, four hundred twenty thousand, four hundred one".