102002300010 has 192 divisors, whose sum is σ = 295801178400. Its totient is φ = 24214063104.

The previous prime is 102002300009. The next prime is 102002300011. The reversal of 102002300010 is 10003200201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102002300009) and next prime (102002300011).

It can be written as a sum of positive squares in 16 ways, for example, as 6912093321 + 95090206689 = 83139^2 + 308367^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 102002299965 and 102002300001.

It is not an unprimeable number, because it can be changed into a prime (102002300011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49299256 + ... + 49301324.

Almost surely, 2^102002300010 is an apocalyptic number.

102002300010 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 102002300010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147900589200).

102002300010 is an abundant number, since it is smaller than the sum of its proper divisors (193798878390).

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

102002300010 is a wasteful number, since it uses less digits than its factorization.

102002300010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3577 (or 3574 counting only the distinct ones).

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

Adding to 102002300010 its reverse (10003200201), we get a palindrome (112005500211).

The spelling of 102002300010 in words is "one hundred two billion, two million, three hundred thousand, ten".