2010100320 has 192 divisors, whose sum is σ = 7069083840. Its totient is φ = 533458944.

The previous prime is 2010100303. The next prime is 2010100331. The reversal of 2010100320 is 230010102.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1005562 + ... + 1007558.

It is an arithmetic number, because the mean of its divisors is an integer number (36818145).

Almost surely, 2^2010100320 is an apocalyptic number.

2010100320 is a gapful number since it is divisible by the number (20) 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 2010100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534541920).

2010100320 is an abundant number, since it is smaller than the sum of its proper divisors (5058983520).

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

2010100320 is a wasteful number, since it uses less digits than its factorization.

2010100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2240 counting only the distinct ones).

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

The square root of 2010100320 is about 44834.1423470997. The cubic root of 2010100320 is about 1262.0384238223.

Adding to 2010100320 its reverse (230010102), we get a palindrome (2240110422).

The spelling of 2010100320 in words is "two billion, ten million, one hundred thousand, three hundred twenty".