20102000100210 has 256 divisors, whose sum is σ = 64911752524800. Its totient is φ = 4321477619712.

The previous prime is 20102000100199. The next prime is 20102000100289. The reversal of 20102000100210 is 1200100020102.

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

It is a junction number, because it is equal to n+sod(n) for n = 20102000100192 and 20102000100201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46469596 + ... + 46900184.

It is an arithmetic number, because the mean of its divisors is an integer number (253561533300).

Almost surely, 2^{20102000100210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20102000100210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32455876262400).

20102000100210 is an abundant number, since it is smaller than the sum of its proper divisors (44809752424590).

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

20102000100210 is a wasteful number, since it uses less digits than its factorization.

20102000100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432082 (or 432076 counting only the distinct ones).

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

Adding to 20102000100210 its reverse (1200100020102), we get a palindrome (21302100120312).

The spelling of 20102000100210 in words is "twenty trillion, one hundred two billion, one hundred thousand, two hundred ten".