102212621128320 has 256 divisors, whose sum is σ = 336367928033280. Its totient is φ = 26373102981120.

The previous prime is 102212621128301. The next prime is 102212621128339. The reversal of 102212621128320 is 23821126212201.

102212621128320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102212621128301) and next prime (102212621128339).

It is a super-3 number, since 3×102212621128320³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369064137 + ... + 369340983.

It is an arithmetic number, because the mean of its divisors is an integer number (1313937218880).

Almost surely, 2^{102212621128320} is an apocalyptic number.

102212621128320 is a gapful number since it is divisible by the number (10) 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 102212621128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168183964016640).

102212621128320 is an abundant number, since it is smaller than the sum of its proper divisors (234155306904960).

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

102212621128320 is a wasteful number, since it uses less digits than its factorization.

102212621128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283103 (or 283091 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 102212621128320 in words is "one hundred two trillion, two hundred twelve billion, six hundred twenty-one million, one hundred twenty-eight thousand, three hundred twenty".