102213252000 has 480 divisors, whose sum is σ = 381586645440. Its totient is φ = 26789875200.

The previous prime is 102213251993. The next prime is 102213252019. The reversal of 102213252000 is 252312201.

102213252000 is a `hidden beast` number, since 10 + 2 + 2 + 132 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19113327 + ... + 19118673.

It is an arithmetic number, because the mean of its divisors is an integer number (794972178).

Almost surely, 2^102213252000 is an apocalyptic number.

102213252000 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 102213252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190793322720).

102213252000 is an abundant number, since it is smaller than the sum of its proper divisors (279373393440).

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

102213252000 is an equidigital number, since it uses as much as digits as its factorization.

102213252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5443 (or 5416 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 102213252000 its reverse (252312201), we get a palindrome (102465564201).

The spelling of 102213252000 in words is "one hundred two billion, two hundred thirteen million, two hundred fifty-two thousand".