20211010020000 has 360 divisors, whose sum is σ = 74297434351140. Its totient is φ = 5203752960000.

The previous prime is 20211010019969. The next prime is 20211010020011. The reversal of 20211010020000 is 2001011202.

It can be written as a sum of positive squares in 10 ways, for example, as 44407975824 + 20166602044176 = 210732^2 + 4490724^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3284080 + ... + 7155920.

Almost surely, 2^{20211010020000} is an apocalyptic number.

20211010020000 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 20211010020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37148717175570).

20211010020000 is an abundant number, since it is smaller than the sum of its proper divisors (54086424331140).

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

20211010020000 is a wasteful number, since it uses less digits than its factorization.

20211010020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871906 (or 3871880 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20211010020000 its reverse (2001011202), we get a palindrome (20213011031202).

The spelling of 20211010020000 in words is "twenty trillion, two hundred eleven billion, ten million, twenty thousand".