1020302010 has 324 divisors, whose sum is σ = 3434281578. Its totient is φ = 209454336.

The previous prime is 1020301999. The next prime is 1020302029. The reversal of 1020302010 is 102030201.

It is a happy number.

1020302010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 144793089 + 875508921 = 12033^2 + 29589^2 .

It is a super-2 number, since 2×1020302010² = 2082032383220080200, which contains 22 as substring.

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 = 1020301983 and 1020302001.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 27575712 + ... + 27575748.

Almost surely, 2^1020302010 is an apocalyptic number.

1020302010 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 1020302010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717140789).

1020302010 is an abundant number, since it is smaller than the sum of its proper divisors (2413979568).

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

1020302010 is a wasteful number, since it uses less digits than its factorization.

1020302010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 67 counting only the distinct ones).

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

The square root of 1020302010 is about 31942.1666453608. The cubic root of 1020302010 is about 1006.7220494702.

Adding to 1020302010 its reverse (102030201), we get a palindrome (1122332211).

Subtracting from 1020302010 its reverse (102030201), we obtain a square (918271809 = 30303²).

The spelling of 1020302010 in words is "one billion, twenty million, three hundred two thousand, ten".