20102100002010 has 288 divisors, whose sum is σ = 57013822298160. Its totient is φ = 4911740301312.

The previous prime is 20102100002009. The next prime is 20102100002051. The reversal of 20102100002010 is 1020000120102.

It can be written as a sum of positive squares in 24 ways, for example, as 8178290172441 + 11923809829569 = 2859771^2 + 3453087^2 .

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 = 20102100001983 and 20102100002001.

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 143 ways as a sum of consecutive naturals, for example, 1133333862 + ... + 1133351598.

Almost surely, 2^{20102100002010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20102100002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28506911149080).

20102100002010 is an abundant number, since it is smaller than the sum of its proper divisors (36911722296150).

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

20102100002010 is a wasteful number, since it uses less digits than its factorization.

20102100002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18322 (or 18306 counting only the distinct ones).

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

Adding to 20102100002010 its reverse (1020000120102), we get a palindrome (21122100122112).

The spelling of 20102100002010 in words is "twenty trillion, one hundred two billion, one hundred million, two thousand, ten".