101544445101 has 32 divisors (see below), whose sum is σ = 164620339200. Its totient is φ = 54873434880.

The previous prime is 101544445061. The next prime is 101544445157.

101544445101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101544445101 - 2²² = 101540250797 is a prime.

It is a super-2 number, since 2×101544445101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101544445601) 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 31 ways as a sum of consecutive naturals, for example, 4752661 + ... + 4773978.

It is an arithmetic number, because the mean of its divisors is an integer number (5144385600).

Almost surely, 2^101544445101 is an apocalyptic number.

101544445101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101544445101 is a deficient number, since it is larger than the sum of its proper divisors (63075894099).

101544445101 is a wasteful number, since it uses less digits than its factorization.

101544445101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9526689.

The product of its (nonzero) digits is 6400, while the sum is 30.

It can be divided in two parts, 101544 and 445101, that added together give a palindrome (546645).

The spelling of 101544445101 in words is "one hundred one billion, five hundred forty-four million, four hundred forty-five thousand, one hundred one".