102212001123300 has 216 divisors, whose sum is σ = 328186155679200. Its totient is φ = 26598975874560.

The previous prime is 102212001123269. The next prime is 102212001123301. The reversal of 102212001123300 is 3321100212201.

102212001123300 is a `hidden beast` number, since 1 + 0 + 2 + 21 + 200 + 112 + 330 + 0 = 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 (102212001123301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 249531 + ... + 14299869.

Almost surely, 2^{102212001123300} is an apocalyptic number.

102212001123300 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 102212001123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164093077839600).

102212001123300 is an abundant number, since it is smaller than the sum of its proper divisors (225974154555900).

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

102212001123300 is a wasteful number, since it uses less digits than its factorization.

102212001123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14050555 (or 14050545 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102212001123300 its reverse (3321100212201), we get a palindrome (105533101335501).

The spelling of 102212001123300 in words is "one hundred two trillion, two hundred twelve billion, one million, one hundred twenty-three thousand, three hundred".