1016020100 has 36 divisors (see below), whose sum is σ = 2206345764. Its totient is φ = 406116480.

The previous prime is 1016020081. The next prime is 1016020121. The reversal of 1016020100 is 10206101.

1016020100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 52041796 + 963978304 = 7214^2 + 31048^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184994 + ... + 190406.

Almost surely, 2^1016020100 is an apocalyptic number.

1016020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1016020100 is an abundant number, since it is smaller than the sum of its proper divisors (1190325664).

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

1016020100 is a wasteful number, since it uses less digits than its factorization.

1016020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7304 (or 7297 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1016020100 is about 31875.0701960011. The cubic root of 1016020100 is about 1005.3117684918.

Adding to 1016020100 its reverse (10206101), we get a palindrome (1026226201).

The spelling of 1016020100 in words is "one billion, sixteen million, twenty thousand, one hundred".