101441334405042 has 64 divisors (see below), whose sum is σ = 225720118631040. Its totient is φ = 33769566517248.

The previous prime is 101441334405029. The next prime is 101441334405067. The reversal of 101441334405042 is 240504433144101.

It is a happy number.

101441334405042 is a `hidden beast` number, since 1 + 0 + 1 + 44 + 133 + 440 + 5 + 0 + 42 = 666.

It is a super-2 number, since 2×101441334405042² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101441334404988 and 101441334405006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130373058 + ... + 131148834.

It is an arithmetic number, because the mean of its divisors is an integer number (3526876853610).

Almost surely, 2^{101441334405042} is an apocalyptic number.

101441334405042 is an abundant number, since it is smaller than the sum of its proper divisors (124278784225998).

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

101441334405042 is a wasteful number, since it uses less digits than its factorization.

101441334405042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778952 (or 778946 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 101441334405042 its reverse (240504433144101), we get a palindrome (341945767549143).

The spelling of 101441334405042 in words is "one hundred one trillion, four hundred forty-one billion, three hundred thirty-four million, four hundred five thousand, forty-two".