100934121480192 has 4032 divisors, whose sum is σ = 426544118208000. Its totient is φ = 22723417866240.

The previous prime is 100934121480149. The next prime is 100934121480217. The reversal of 100934121480192 is 291084121439001.

100934121480192 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 3 + 412 + 1 + 48 + 0 + 192 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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, 893222313928 + ... + 893222314040.

Almost surely, 2^{100934121480192} is an apocalyptic number.

100934121480192 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 100934121480192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213272059104000).

100934121480192 is an abundant number, since it is smaller than the sum of its proper divisors (325609996727808).

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

100934121480192 is a wasteful number, since it uses less digits than its factorization.

100934121480192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

It can be divided in two parts, 10093412 and 1480192, that added together give a square (11573604 = 3402²).

The spelling of 100934121480192 in words is "one hundred trillion, nine hundred thirty-four billion, one hundred twenty-one million, four hundred eighty thousand, one hundred ninety-two".