1020032100 has 108 divisors (see below), whose sum is σ = 3365565840. Its totient is φ = 257688000.

The previous prime is 1020032077. The next prime is 1020032171. The reversal of 1020032100 is 12300201.

It is a happy number.

1020032100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12726 + ... + 46925.

Almost surely, 2^1020032100 is an apocalyptic number.

1020032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020032100 is an abundant number, since it is smaller than the sum of its proper divisors (2345533740).

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

1020032100 is a wasteful number, since it uses less digits than its factorization.

1020032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59690 (or 59680 counting only the distinct ones).

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

The square root of 1020032100 is about 31937.9413863824. The cubic root of 1020032100 is about 1006.6332691189.

Adding to 1020032100 its reverse (12300201), we get a palindrome (1032332301).

The spelling of 1020032100 in words is "one billion, twenty million, thirty-two thousand, one hundred".