102020313000000 has 392 divisors, whose sum is σ = 337981488156576. Its totient is φ = 27159065600000.

The previous prime is 102020312999951. The next prime is 102020313000061. The reversal of 102020313000000 is 313020201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 102020313000000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1778971327 + ... + 1779028673.

Almost surely, 2^{102020313000000} is an apocalyptic number.

102020313000000 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 102020313000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168990744078288).

102020313000000 is an abundant number, since it is smaller than the sum of its proper divisors (235961175156576).

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

102020313000000 is an frugal number, since it uses more digits than its factorization.

102020313000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57985 (or 57950 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 102020313000000 its reverse (313020201), we get a palindrome (102020626020201).

The spelling of 102020313000000 in words is "one hundred two trillion, twenty billion, three hundred thirteen million", and thus it is an aban number.