100213058714832 has 960 divisors, whose sum is σ = 342971680550400. Its totient is φ = 27926060359680.

The previous prime is 100213058714777. The next prime is 100213058714851. The reversal of 100213058714832 is 238417850312001.

100213058714832 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 1 + 30 + 587 + 1 + 4 + 8 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 91351921708 + ... + 91351922804.

It is an arithmetic number, because the mean of its divisors is an integer number (357262167240).

Almost surely, 2^{100213058714832} is an apocalyptic number.

100213058714832 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 100213058714832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171485840275200).

100213058714832 is an abundant number, since it is smaller than the sum of its proper divisors (242758621835568).

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

100213058714832 is a wasteful number, since it uses less digits than its factorization.

100213058714832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 100213058714832 in words is "one hundred trillion, two hundred thirteen billion, fifty-eight million, seven hundred fourteen thousand, eight hundred thirty-two".