100100834855424 has 480 divisors, whose sum is σ = 315741380258304. Its totient is φ = 30343781744640.

The previous prime is 100100834855341. The next prime is 100100834855449. The reversal of 100100834855424 is 424558438001001.

100100834855424 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 0 + 83 + 4 + 8 + 554 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 100100834855424.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3983783149 + ... + 3983808275.

Almost surely, 2^{100100834855424} 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 100100834855424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157870690129152).

100100834855424 is an abundant number, since it is smaller than the sum of its proper divisors (215640545402880).

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

100100834855424 is a wasteful number, since it uses less digits than its factorization.

100100834855424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26148 (or 26129 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 100100834855424 in words is "one hundred trillion, one hundred billion, eight hundred thirty-four million, eight hundred fifty-five thousand, four hundred twenty-four".