20102102200000 has 336 divisors, whose sum is σ = 53536550816448. Its totient is φ = 7461171200000.

The previous prime is 20102102199919. The next prime is 20102102200013. The reversal of 20102102200000 is 220120102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 20102102200000.

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, 241358364 + ... + 241441636.

It is an arithmetic number, because the mean of its divisors is an integer number (159334972668).

Almost surely, 2^{20102102200000} is an apocalyptic number.

20102102200000 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 20102102200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26768275408224).

20102102200000 is an abundant number, since it is smaller than the sum of its proper divisors (33434448616448).

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

20102102200000 is an frugal number, since it uses more digits than its factorization.

20102102200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83398 (or 83368 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20102102200000 its reverse (220120102), we get a palindrome (20102322320102).

The spelling of 20102102200000 in words is "twenty trillion, one hundred two billion, one hundred two million, two hundred thousand".