102020332200000 has 336 divisors, whose sum is σ = 337528236060288. Its totient is φ = 27194227200000.

The previous prime is 102020332199959. The next prime is 102020332200001. The reversal of 102020332200000 is 2233020201.

It is a super-3 number, since 3×102020332200000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (102020332200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1512566277 + ... + 1512633723.

It is an arithmetic number, because the mean of its divisors is an integer number (1004548321608).

Almost surely, 2^{102020332200000} is an apocalyptic number.

102020332200000 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 102020332200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168764118030144).

102020332200000 is an abundant number, since it is smaller than the sum of its proper divisors (235507903860288).

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

102020332200000 is an frugal number, since it uses more digits than its factorization.

102020332200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70008 (or 69978 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 102020332200000 its reverse (2233020201), we get a palindrome (102022565220201).

The spelling of 102020332200000 in words is "one hundred two trillion, twenty billion, three hundred thirty-two million, two hundred thousand".