1020101310 has 64 divisors (see below), whose sum is σ = 2735596800. Its totient is φ = 270494496.

The previous prime is 1020101309. The next prime is 1020101321. The reversal of 1020101310 is 131010201.

It is a super-2 number, since 2×1020101310² = 2081213365327432200, 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 = 1020101292 and 1020101301.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 37777 + ... + 58883.

It is an arithmetic number, because the mean of its divisors is an integer number (42743700).

Almost surely, 2^1020101310 is an apocalyptic number.

1020101310 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 1020101310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367798400).

1020101310 is an abundant number, since it is smaller than the sum of its proper divisors (1715495490).

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

1020101310 is a wasteful number, since it uses less digits than its factorization.

1020101310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21302 (or 21296 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1020101310 is about 31939.0248755343. The cubic root of 1020101310 is about 1006.6560355636.

Adding to 1020101310 its reverse (131010201), we get a palindrome (1151111511).

The spelling of 1020101310 in words is "one billion, twenty million, one hundred one thousand, three hundred ten".