20102202101000 has 256 divisors, whose sum is σ = 49544441856000. Its totient is φ = 7619422483200.

The previous prime is 20102202100999. The next prime is 20102202101077. The reversal of 20102202101000 is 10120220102.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 1531356437 + ... + 1531369563.

It is an arithmetic number, because the mean of its divisors is an integer number (193532976000).

Almost surely, 2^{20102202101000} is an apocalyptic number.

20102202101000 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 20102202101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24772220928000).

20102202101000 is an abundant number, since it is smaller than the sum of its proper divisors (29442239755000).

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

20102202101000 is a wasteful number, since it uses less digits than its factorization.

20102202101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13789 (or 13775 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20102202101000 its reverse (10120220102), we get a palindrome (20112322321102).

The spelling of 20102202101000 in words is "twenty trillion, one hundred two billion, two hundred two million, one hundred one thousand".