101441545144101 has 96 divisors (see below), whose sum is σ = 157457518013952. Its totient is φ = 62767815390720.

The previous prime is 101441545144087. The next prime is 101441545144117.

101441545144101 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 4 + 1 + 545 + 1 + 4 + 4 + 101 = 666.

101441545144101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101441545144101 - 2³⁴ = 101424365274917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101441545144501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5026078456 + ... + 5026098638.

It is an arithmetic number, because the mean of its divisors is an integer number (1640182479312).

Almost surely, 2^{101441545144101} is an apocalyptic number.

It is an amenable number.

101441545144101 is a deficient number, since it is larger than the sum of its proper divisors (56015972869851).

101441545144101 is a wasteful number, since it uses less digits than its factorization.

101441545144101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22003 (or 22000 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 101441545144101 in words is "one hundred one trillion, four hundred forty-one billion, five hundred forty-five million, one hundred forty-four thousand, one hundred one".