102213123000300 has 648 divisors, whose sum is σ = 370424655304704. Its totient is φ = 23506519196160.

The previous prime is 102213123000229. The next prime is 102213123000301. The reversal of 102213123000300 is 3000321312201.

102213123000300 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 131 + 230 + 0 + 0 + 300 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (102213123000301) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 150087157 + ... + 150766643.

Almost surely, 2^{102213123000300} is an apocalyptic number.

102213123000300 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 102213123000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185212327652352).

102213123000300 is an abundant number, since it is smaller than the sum of its proper divisors (268211532304404).

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

102213123000300 is a wasteful number, since it uses less digits than its factorization.

102213123000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679599 (or 679576 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102213123000300 its reverse (3000321312201), we get a palindrome (105213444312501).

The spelling of 102213123000300 in words is "one hundred two trillion, two hundred thirteen billion, one hundred twenty-three million, three hundred", and thus it is an aban number.