102213008352 has 672 divisors, whose sum is σ = 376201506240. Its totient is φ = 26605117440.

The previous prime is 102213008333. The next prime is 102213008357. The reversal of 102213008352 is 253800312201.

102213008352 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 300 + 8 + 352 = 666.

102213008352 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213008357) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 188933202 + ... + 188933742.

It is an arithmetic number, because the mean of its divisors is an integer number (559823670).

Almost surely, 2^102213008352 is an apocalyptic number.

102213008352 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 102213008352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188100753120).

102213008352 is an abundant number, since it is smaller than the sum of its proper divisors (273988497888).

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

102213008352 is an equidigital number, since it uses as much as digits as its factorization.

102213008352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 102213008352 in words is "one hundred two billion, two hundred thirteen million, eight thousand, three hundred fifty-two".