20010010021000 has 192 divisors, whose sum is σ = 49751949995280. Its totient is φ = 7531334451200.

The previous prime is 20010010020919. The next prime is 20010010021069. The reversal of 20010010021000 is 12001001002.

It can be written as a sum of positive squares in 24 ways, for example, as 2483278008964 + 17526732012036 = 1575842^2 + 4186494^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1974731934 + ... + 1974742066.

Almost surely, 2^{20010010021000} is an apocalyptic number.

20010010021000 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 20010010021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24875974997640).

20010010021000 is an abundant number, since it is smaller than the sum of its proper divisors (29741939974280).

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

20010010021000 is a wasteful number, since it uses less digits than its factorization.

20010010021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17021 (or 16990 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 20010010021000 its reverse (12001001002), we get a palindrome (20022011022002).

The spelling of 20010010021000 in words is "twenty trillion, ten billion, ten million, twenty-one thousand".