102213753102624 has 96 divisors (see below), whose sum is σ = 269882362632960. Its totient is φ = 33871994304512.

The previous prime is 102213753102599. The next prime is 102213753102673. The reversal of 102213753102624 is 426201357312201.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22281097 + ... + 26474039.

It is an arithmetic number, because the mean of its divisors is an integer number (2811274610760).

Almost surely, 2^{102213753102624} 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 102213753102624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134941181316480).

102213753102624 is an abundant number, since it is smaller than the sum of its proper divisors (167668609530336).

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

102213753102624 is a wasteful number, since it uses less digits than its factorization.

102213753102624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194442 (or 4194434 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 102213753102624 in words is "one hundred two trillion, two hundred thirteen billion, seven hundred fifty-three million, one hundred two thousand, six hundred twenty-four".