2010100032 has 42 divisors (see below), whose sum is σ = 5761590458. Its totient is φ = 670033152.

The previous prime is 2010100021. The next prime is 2010100033. The reversal of 2010100032 is 2300010102.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1979894016 + 30206016 = 44496^2 + 5496^2 .

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 = 2010099987 and 2010100023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010100033) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1744303 + ... + 1745454.

Almost surely, 2^2010100032 is an apocalyptic number.

It is an amenable number.

2010100032 is an abundant number, since it is smaller than the sum of its proper divisors (3751490426).

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

2010100032 is a wasteful number, since it uses less digits than its factorization.

2010100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3489775 (or 3489762 counting only the distinct ones).

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

The square root of 2010100032 is about 44834.1391352616. The cubic root of 2010100032 is about 1262.0383635489.

Adding to 2010100032 its reverse (2300010102), we get a palindrome (4310110134).

The spelling of 2010100032 in words is "two billion, ten million, one hundred thousand, thirty-two".