1010102320 has 80 divisors (see below), whose sum is σ = 2479127040. Its totient is φ = 381687552.

The previous prime is 1010102231. The next prime is 1010102321. The reversal of 1010102320 is 232010101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1010102297 and 1010102306.

It is not an unprimeable number, because it can be changed into a prime (1010102321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 709129 + ... + 710551.

It is an arithmetic number, because the mean of its divisors is an integer number (30989088).

Almost surely, 2^1010102320 is an apocalyptic number.

1010102320 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 1010102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239563520).

1010102320 is an abundant number, since it is smaller than the sum of its proper divisors (1469024720).

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

1010102320 is a wasteful number, since it uses less digits than its factorization.

1010102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1010102320 is about 31782.1069156845. The cubic root of 1010102320 is about 1003.3561635650.

Adding to 1010102320 its reverse (232010101), we get a palindrome (1242112421).

The spelling of 1010102320 in words is "one billion, ten million, one hundred two thousand, three hundred twenty".