10002102110220 has 768 divisors, whose sum is σ = 34264287332352. Its totient is φ = 2151905034240.

The previous prime is 10002102110219. The next prime is 10002102110251. The reversal of 10002102110220 is 2201120120001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10002102110196 and 10002102110205.

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 255 ways as a sum of consecutive naturals, for example, 1826198122 + ... + 1826203598.

It is an arithmetic number, because the mean of its divisors is an integer number (44614957464).

Almost surely, 2^{10002102110220} is an apocalyptic number.

10002102110220 is a gapful number since it is divisible by the number (10) 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 10002102110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17132143666176).

10002102110220 is an abundant number, since it is smaller than the sum of its proper divisors (24262185222132).

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

10002102110220 is a wasteful number, since it uses less digits than its factorization.

10002102110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5690 (or 5688 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10002102110220 its reverse (2201120120001), we get a palindrome (12203222230221).

The spelling of 10002102110220 in words is "ten trillion, two billion, one hundred two million, one hundred ten thousand, two hundred twenty".