101444103201 has 16 divisors (see below), whose sum is σ = 154606003200. Its totient is φ = 57958866768.

The previous prime is 101444103151. The next prime is 101444103263. The reversal of 101444103201 is 102301444101.

It is not a de Polignac number, because 101444103201 - 2¹⁴ = 101444086817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (101444103001) 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 15 ways as a sum of consecutive naturals, for example, 246291 + ... + 513368.

It is an arithmetic number, because the mean of its divisors is an integer number (9662875200).

Almost surely, 2^101444103201 is an apocalyptic number.

It is an amenable number.

101444103201 is a deficient number, since it is larger than the sum of its proper divisors (53161899999).

101444103201 is an equidigital number, since it uses as much as digits as its factorization.

101444103201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766028.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 101444103201 its reverse (102301444101), we get a palindrome (203745547302).

The spelling of 101444103201 in words is "one hundred one billion, four hundred forty-four million, one hundred three thousand, two hundred one".