100071111043104 has 192 divisors, whose sum is σ = 293866126243200. Its totient is φ = 29631928025088.

The previous prime is 100071111043103. The next prime is 100071111043153. The reversal of 100071111043104 is 401340111170001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100071111043103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2342514 + ... + 14339790.

It is an arithmetic number, because the mean of its divisors is an integer number (1530552740850).

Almost surely, 2^{100071111043104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100071111043104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146933063121600).

100071111043104 is an abundant number, since it is smaller than the sum of its proper divisors (193795015200096).

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

100071111043104 is a wasteful number, since it uses less digits than its factorization.

100071111043104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11997595 (or 11997587 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The spelling of 100071111043104 in words is "one hundred trillion, seventy-one billion, one hundred eleven million, forty-three thousand, one hundred four".