100273451242752 has 1296 divisors, whose sum is σ = 327342338668800. Its totient is φ = 29422413250560.

The previous prime is 100273451242721. The next prime is 100273451242763. The reversal of 100273451242752 is 257242154372001.

100273451242752 is a `hidden beast` number, since 1 + 0 + 0 + 27 + 3 + 4 + 512 + 42 + 75 + 2 = 666.

It is a super-2 number, since 2×100273451242752² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100273451242698 and 100273451242707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 197000886274 + ... + 197000886782.

Almost surely, 2^{100273451242752} is an apocalyptic number.

100273451242752 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 100273451242752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163671169334400).

100273451242752 is an abundant number, since it is smaller than the sum of its proper divisors (227068887426048).

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

100273451242752 is a wasteful number, since it uses less digits than its factorization.

100273451242752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 100273451242752 in words is "one hundred trillion, two hundred seventy-three billion, four hundred fifty-one million, two hundred forty-two thousand, seven hundred fifty-two".