101172718080 has 480 divisors, whose sum is σ = 404475147648. Its totient is φ = 22892544000.

The previous prime is 101172718061. The next prime is 101172718091. The reversal of 101172718080 is 80817271101.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16286175 + ... + 16292385.

Almost surely, 2^101172718080 is an apocalyptic number.

101172718080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101172718080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202237573824).

101172718080 is an abundant number, since it is smaller than the sum of its proper divisors (303302429568).

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

101172718080 is a wasteful number, since it uses less digits than its factorization.

101172718080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6348 (or 6329 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 36.

Adding to 101172718080 its reverse (80817271101), we get a palindrome (181989989181).

The spelling of 101172718080 in words is "one hundred one billion, one hundred seventy-two million, seven hundred eighteen thousand, eighty".