101334301211441 has 8 divisors (see below), whose sum is σ = 101941864053120. Its totient is φ = 100726747544128.

The previous prime is 101334301211287. The next prime is 101334301211449. The reversal of 101334301211441 is 144112103433101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101334301211441 - 2²² = 101334297017137 is a prime.

It is a super-2 number, since 2×101334301211441² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101334301211449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20542940 + ... + 24993618.

It is an arithmetic number, because the mean of its divisors is an integer number (12742733006640).

Almost surely, 2^{101334301211441} is an apocalyptic number.

It is an amenable number.

101334301211441 is a deficient number, since it is larger than the sum of its proper divisors (607562841679).

101334301211441 is a wasteful number, since it uses less digits than its factorization.

101334301211441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4587183.

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 101334301211441 its reverse (144112103433101), we get a palindrome (245446404644542).

The spelling of 101334301211441 in words is "one hundred one trillion, three hundred thirty-four billion, three hundred one million, two hundred eleven thousand, four hundred forty-one".