102133333100214 has 384 divisors, whose sum is σ = 262347269603328. Its totient is φ = 28417291223040.

The previous prime is 102133333100179. The next prime is 102133333100221. The reversal of 102133333100214 is 412001333331201.

102133333100214 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 333 + 310 + 0 + 2 + 14 = 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, 10532462214 + ... + 10532471910.

It is an arithmetic number, because the mean of its divisors is an integer number (683196014592).

Almost surely, 2^{102133333100214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102133333100214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131173634801664).

102133333100214 is an abundant number, since it is smaller than the sum of its proper divisors (160213936503114).

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

102133333100214 is a wasteful number, since it uses less digits than its factorization.

102133333100214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10372 (or 10369 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 102133333100214 its reverse (412001333331201), we get a palindrome (514134666431415).

The spelling of 102133333100214 in words is "one hundred two trillion, one hundred thirty-three billion, three hundred thirty-three million, one hundred thousand, two hundred fourteen".