20102001011000 has 256 divisors, whose sum is σ = 48023256153600. Its totient is φ = 7874350848000.

The previous prime is 20102001010997. The next prime is 20102001011003. The reversal of 20102001011000 is 11010020102.

It is an interprime number because it is at equal distance from previous prime (20102001010997) and next prime (20102001011003).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102001011003) 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 63 ways as a sum of consecutive naturals, for example, 9389069930 + ... + 9389072070.

It is an arithmetic number, because the mean of its divisors is an integer number (187590844350).

Almost surely, 2^{20102001011000} is an apocalyptic number.

20102001011000 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 20102001011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24011628076800).

20102001011000 is an abundant number, since it is smaller than the sum of its proper divisors (27921255142600).

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

20102001011000 is a wasteful number, since it uses less digits than its factorization.

20102001011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 20102001011000 its reverse (11010020102), we get a palindrome (20113011031102).

The spelling of 20102001011000 in words is "twenty trillion, one hundred two billion, one million, eleven thousand".