101343312201441 has 16 divisors (see below), whose sum is σ = 138273982109120. Its totient is φ = 65987587431360.

The previous prime is 101343312201419. The next prime is 101343312201451. The reversal of 101343312201441 is 144102213343101.

It is not a de Polignac number, because 101343312201441 - 2¹⁵ = 101343312168673 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101343312201399 and 101343312201408.

It is not an unprimeable number, because it can be changed into a prime (101343312201451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17767306 + ... + 22767603.

It is an arithmetic number, because the mean of its divisors is an integer number (8642123881820).

Almost surely, 2^{101343312201441} is an apocalyptic number.

It is an amenable number.

101343312201441 is a deficient number, since it is larger than the sum of its proper divisors (36930669907679).

101343312201441 is a wasteful number, since it uses less digits than its factorization.

101343312201441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40554336.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 101343312201441 its reverse (144102213343101), we get a palindrome (245445525544542).

The spelling of 101343312201441 in words is "one hundred one trillion, three hundred forty-three billion, three hundred twelve million, two hundred one thousand, four hundred forty-one".