100442121867360 has 1536 divisors, whose sum is σ = 440757589708800. Its totient is φ = 20797816504320.

The previous prime is 100442121867341. The next prime is 100442121867371. The reversal of 100442121867360 is 63768121244001.

100442121867360 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 4 + 212 + 18 + 67 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11198804956 + ... + 11198813924.

It is an arithmetic number, because the mean of its divisors is an integer number (286951555800).

Almost surely, 2^{100442121867360} is an apocalyptic number.

100442121867360 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 100442121867360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220378794854400).

100442121867360 is an abundant number, since it is smaller than the sum of its proper divisors (340315467841440).

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

100442121867360 is a wasteful number, since it uses less digits than its factorization.

100442121867360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9541 (or 9527 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 100442121867360 in words is "one hundred trillion, four hundred forty-two billion, one hundred twenty-one million, eight hundred sixty-seven thousand, three hundred sixty".