20011002000 has 320 divisors, whose sum is σ = 71889113088. Its totient is φ = 4747200000.

The previous prime is 20011001987. The next prime is 20011002007. The reversal of 20011002000 is 20011002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 20011002000.

It is not an unprimeable number, because it can be changed into a prime (20011002007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3098775 + ... + 3105225.

Almost surely, 2^20011002000 is an apocalyptic number.

20011002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20011002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35944556544).

20011002000 is an abundant number, since it is smaller than the sum of its proper divisors (51878111088).

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

20011002000 is a wasteful number, since it uses less digits than its factorization.

20011002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6535 (or 6519 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 20011002000 its reverse (20011002), we get a palindrome (20031013002).

20011002000 divided by its reverse (20011002) gives a cube (1000 = 10³).

It can be divided in two parts, 2001 and 1002000, that added together give a palindrome (1004001).

The spelling of 20011002000 in words is "twenty billion, eleven million, two thousand".