100822215674214 has 256 divisors, whose sum is σ = 245572168089600. Its totient is φ = 30552208041600.

The previous prime is 100822215674203. The next prime is 100822215674281. The reversal of 100822215674214 is 412476512228001.

100822215674214 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 2 + 2 + 215 + 6 + 7 + 421 + 4 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100822215674214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2322482169 + ... + 2322525579.

It is an arithmetic number, because the mean of its divisors is an integer number (959266281600).

Almost surely, 2^{100822215674214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100822215674214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122786084044800).

100822215674214 is an abundant number, since it is smaller than the sum of its proper divisors (144749952415386).

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

100822215674214 is a wasteful number, since it uses less digits than its factorization.

100822215674214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44408 (or 44402 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 100822215674214 in words is "one hundred trillion, eight hundred twenty-two billion, two hundred fifteen million, six hundred seventy-four thousand, two hundred fourteen".