100071612480 has 448 divisors, whose sum is σ = 385373514240. Its totient is φ = 21477851136.

The previous prime is 100071612469. The next prime is 100071612491. The reversal of 100071612480 is 84216170001.

It is an interprime number because it is at equal distance from previous prime (100071612469) and next prime (100071612491).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70028406 + ... + 70029834.

Almost surely, 2^100071612480 is an apocalyptic number.

100071612480 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 100071612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192686757120).

100071612480 is an abundant number, since it is smaller than the sum of its proper divisors (285301901760).

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

100071612480 is a wasteful number, since it uses less digits than its factorization.

100071612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

Adding to 100071612480 its reverse (84216170001), we get a palindrome (184287782481).

The spelling of 100071612480 in words is "one hundred billion, seventy-one million, six hundred twelve thousand, four hundred eighty".