101334301211440 has 80 divisors (see below), whose sum is σ = 262997860916736. Its totient is φ = 35991887097600.

The previous prime is 101334301211287. The next prime is 101334301211449. The reversal of 101334301211440 is 44112103433101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 101334301211399 and 101334301211408.

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 15 ways as a sum of consecutive naturals, for example, 1338946056 + ... + 1339021735.

Almost surely, 2^{101334301211440} is an apocalyptic number.

101334301211440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101334301211440 is an abundant number, since it is smaller than the sum of its proper divisors (161663559705296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101334301211440 is a wasteful number, since it uses less digits than its factorization.

101334301211440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677967858 (or 2677967852 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 101334301211440 its reverse (44112103433101), we get a palindrome (145446404644541).

The spelling of 101334301211440 in words is "one hundred one trillion, three hundred thirty-four billion, three hundred one million, two hundred eleven thousand, four hundred forty".