102020332101200 has 60 divisors (see below), whose sum is σ = 245479198957788. Its totient is φ = 40745639424000.

The previous prime is 102020332101151. The next prime is 102020332101203. The reversal of 102020332101200 is 2101233020201.

It can be written as a sum of positive squares in 6 ways, for example, as 24973087246864 + 77047244854336 = 4997308^2 + 8777656^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020332101203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195030401 + ... + 195552800.

Almost surely, 2^{102020332101200} is an apocalyptic number.

102020332101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102020332101200 is an abundant number, since it is smaller than the sum of its proper divisors (143458866856588).

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

102020332101200 is a wasteful number, since it uses less digits than its factorization.

102020332101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390583872 (or 390583861 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102020332101200 its reverse (2101233020201), we get a palindrome (104121565121401).

The spelling of 102020332101200 in words is "one hundred two trillion, twenty billion, three hundred thirty-two million, one hundred one thousand, two hundred".