1020000100 has 36 divisors (see below), whose sum is σ = 2529601984. Its totient is φ = 349714080.

The previous prime is 1020000061. The next prime is 1020000103. The reversal of 1020000100 is 10000201.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 1020000100.

It is not an unprimeable number, because it can be changed into a prime (1020000103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 727872 + ... + 729271.

Almost surely, 2^1020000100 is an apocalyptic number.

1020000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020000100 is an abundant number, since it is smaller than the sum of its proper divisors (1509601884).

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

1020000100 is a wasteful number, since it uses less digits than its factorization.

1020000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457164 (or 1457157 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 1020000100 is about 31937.4404109033. The cubic root of 1020000100 is about 1006.6227424563.

Adding to 1020000100 its reverse (10000201), we get a palindrome (1030000301).

It can be divided in two parts, 1020000 and 100, that added together give a square (1020100 = 1010²).

The spelling of 1020000100 in words is "one billion, twenty million, one hundred", and thus it is an aban number.