101442101244101 has 4 divisors (see below), whose sum is σ = 101442129373932. Its totient is φ = 101442073114272.

The previous prime is 101442101244083. The next prime is 101442101244157.

101442101244101 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 24627656815876 + 76814444428225 = 4962626^2 + 8764385^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101442101244101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101442101243101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7693520 + ... + 16188713.

It is an arithmetic number, because the mean of its divisors is an integer number (25360532343483).

Almost surely, 2^{101442101244101} is an apocalyptic number.

It is an amenable number.

101442101244101 is a deficient number, since it is larger than the sum of its proper divisors (28129831).

101442101244101 is an equidigital number, since it uses as much as digits as its factorization.

101442101244101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28129830.

The product of its (nonzero) digits is 1024, while the sum is 26.

It can be divided in two parts, 10144210 and 1244101, that added together give a palindrome (11388311).

The spelling of 101442101244101 in words is "one hundred one trillion, four hundred forty-two billion, one hundred one million, two hundred forty-four thousand, one hundred one".