100553813819712 has 896 divisors, whose sum is σ = 333415228723200. Its totient is φ = 29449715097600.

The previous prime is 100553813819687. The next prime is 100553813819729. The reversal of 100553813819712 is 217918318355001.

100553813819712 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 538 + 1 + 3 + 8 + 1 + 97 + 12 = 666.

It is a super-2 number, since 2×100553813819712² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 82896795618 + ... + 82896796830.

Almost surely, 2^{100553813819712} is an apocalyptic number.

100553813819712 is a gapful number since it is divisible by the number (12) 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 100553813819712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166707614361600).

100553813819712 is an abundant number, since it is smaller than the sum of its proper divisors (232861414903488).

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

100553813819712 is a wasteful number, since it uses less digits than its factorization.

100553813819712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 100553813819712 in words is "one hundred trillion, five hundred fifty-three billion, eight hundred thirteen million, eight hundred nineteen thousand, seven hundred twelve".