20011001000 has 32 divisors (see below), whose sum is σ = 46825744680. Its totient is φ = 8004400000.

The previous prime is 20011000987. The next prime is 20011001009. The reversal of 20011001000 is 10011002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7719731044 + 12291269956 = 87862^2 + 110866^2 .

It is a super-2 number, since 2×20011001000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (20011001009) 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 7 ways as a sum of consecutive naturals, for example, 10004501 + ... + 10006500.

Almost surely, 2^20011001000 is an apocalyptic number.

20011001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20011001000 is an abundant number, since it is smaller than the sum of its proper divisors (26814743680).

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

20011001000 is a wasteful number, since it uses less digits than its factorization.

20011001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20011022 (or 20011008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 20011001000 its reverse (10011002), we get a palindrome (20021012002).

It can be divided in two parts, 2001 and 1001000, that added together give a palindrome (1003001).

The spelling of 20011001000 in words is "twenty billion, eleven million, one thousand".