102013221330000 has 600 divisors, whose sum is σ = 370514893062600. Its totient is φ = 26170822656000.

The previous prime is 102013221329953. The next prime is 102013221330023. The reversal of 102013221330000 is 33122310201.

102013221330000 is a `hidden beast` number, since 1 + 0 + 20 + 132 + 213 + 300 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 99989840258064 + 2023381071936 = 9999492^2 + 1422456^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×102013221330000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 296197896 + ... + 296542104.

It is an arithmetic number, because the mean of its divisors is an integer number (617524821771).

Almost surely, 2^{102013221330000} is an apocalyptic number.

102013221330000 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 102013221330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185257446531300).

102013221330000 is an abundant number, since it is smaller than the sum of its proper divisors (268501671732600).

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

102013221330000 is a wasteful number, since it uses less digits than its factorization.

102013221330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344369 (or 344345 counting only the distinct ones).

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

Adding to 102013221330000 its reverse (33122310201), we get a palindrome (102046343640201).

The spelling of 102013221330000 in words is "one hundred two trillion, thirteen billion, two hundred twenty-one million, three hundred thirty thousand".