100263881198880 has 2304 divisors, whose sum is σ = 452027495808000. Its totient is φ = 20585640886272.

The previous prime is 100263881198861. The next prime is 100263881198909. The reversal of 100263881198880 is 88891188362001.

100263881198880 is a `hidden beast` number, since 100 + 263 + 8 + 8 + 1 + 198 + 8 + 80 = 666.

It is a super-2 number, since 2×100263881198880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 47094353656 + ... + 47094355784.

It is an arithmetic number, because the mean of its divisors is an integer number (196192489500).

Almost surely, 2^{100263881198880} is an apocalyptic number.

100263881198880 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 100263881198880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226013747904000).

100263881198880 is an abundant number, since it is smaller than the sum of its proper divisors (351763614609120).

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

100263881198880 is a wasteful number, since it uses less digits than its factorization.

100263881198880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 63.

The spelling of 100263881198880 in words is "one hundred trillion, two hundred sixty-three billion, eight hundred eighty-one million, one hundred ninety-eight thousand, eight hundred eighty".