101014144401 has 8 divisors (see below), whose sum is σ = 134912653920. Its totient is φ = 67229198912.

The previous prime is 101014144373. The next prime is 101014144403. The reversal of 101014144401 is 104441410101.

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 101014144401 - 2²¹ = 101012047249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101014144403) 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 7 ways as a sum of consecutive naturals, for example, 28388931 + ... + 28392488.

It is an arithmetic number, because the mean of its divisors is an integer number (16864081740).

Almost surely, 2^101014144401 is an apocalyptic number.

It is an amenable number.

101014144401 is a deficient number, since it is larger than the sum of its proper divisors (33898509519).

101014144401 is an equidigital number, since it uses as much as digits as its factorization.

101014144401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56782015.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 101014144401 its reverse (104441410101), we get a palindrome (205455554502).

The spelling of 101014144401 in words is "one hundred one billion, fourteen million, one hundred forty-four thousand, four hundred one".