1020001000 has 32 divisors (see below), whose sum is σ = 2386804680. Its totient is φ = 408000000.

The previous prime is 1020000899. The next prime is 1020001001. The reversal of 1020001000 is 1000201.

It can be written as a sum of positive squares in 4 ways, for example, as 346183236 + 673817764 = 18606^2 + 25958^2 .

It is a super-3 number, since 3×1020001000³ (a number of 28 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1020001001) 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 7 ways as a sum of consecutive naturals, for example, 509001 + ... + 511000.

Almost surely, 2^1020001000 is an apocalyptic number.

1020001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020001000 is an abundant number, since it is smaller than the sum of its proper divisors (1366803680).

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

1020001000 is a wasteful number, since it uses less digits than its factorization.

1020001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020022 (or 1020008 counting only the distinct ones).

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

The square root of 1020001000 is about 31937.4545009461. The cubic root of 1020001000 is about 1006.6230385217.

Adding to 1020001000 its reverse (1000201), we get a palindrome (1021001201).

It can be divided in two parts, 10 and 20001000, that multiplied together give a triangular number (200010000 = T₂₀₀₀₀).

The spelling of 1020001000 in words is "one billion, twenty million, one thousand".