101841534080 has 128 divisors (see below), whose sum is σ = 286028971200. Its totient is φ = 34184540160.

The previous prime is 101841534077. The next prime is 101841534083. The reversal of 101841534080 is 80435148101.

It is an interprime number because it is at equal distance from previous prime (101841534077) and next prime (101841534083).

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 101841534080.

It is not an unprimeable number, because it can be changed into a prime (101841534083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464870 + ... + 647909.

Almost surely, 2^101841534080 is an apocalyptic number.

101841534080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101841534080 is an abundant number, since it is smaller than the sum of its proper divisors (184187437120).

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

101841534080 is a wasteful number, since it uses less digits than its factorization.

101841534080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112822 (or 1112810 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The spelling of 101841534080 in words is "one hundred one billion, eight hundred forty-one million, five hundred thirty-four thousand, eighty".