100273921070400 has 2016 divisors, whose sum is σ = 455386467115008. Its totient is φ = 20319654297600.

The previous prime is 100273921070387. The next prime is 100273921070447. The reversal of 100273921070400 is 4070129372001.

100273921070400 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 7 + 39 + 210 + 7 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 41146457982 + ... + 41146460418.

Almost surely, 2^{100273921070400} is an apocalyptic number.

100273921070400 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 100273921070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227693233557504).

100273921070400 is an abundant number, since it is smaller than the sum of its proper divisors (355112546044608).

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

100273921070400 is a wasteful number, since it uses less digits than its factorization.

100273921070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3389 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 100273921070400 in words is "one hundred trillion, two hundred seventy-three billion, nine hundred twenty-one million, seventy thousand, four hundred".