102020000300010 has 128 divisors (see below), whose sum is σ = 293134167164160. Its totient is φ = 25099445161728.

The previous prime is 102020000299991. The next prime is 102020000300021. The reversal of 102020000300010 is 10003000020201.

It is a happy number.

It is a super-2 number, since 2×102020000300010² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102020000299965 and 102020000300001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 927177 + ... + 14314316.

It is an arithmetic number, because the mean of its divisors is an integer number (2290110680970).

Almost surely, 2^{102020000300010} is an apocalyptic number.

102020000300010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102020000300010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146567083582080).

102020000300010 is an abundant number, since it is smaller than the sum of its proper divisors (191114166864150).

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

102020000300010 is a wasteful number, since it uses less digits than its factorization.

102020000300010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15243429 (or 15243423 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 102020000300010 its reverse (10003000020201), we get a palindrome (112023000320211).

The spelling of 102020000300010 in words is "one hundred two trillion, twenty billion, three hundred thousand, ten".