20102102210120 has 192 divisors, whose sum is σ = 57293116344000. Its totient is φ = 6304252405248.

The previous prime is 20102102210119. The next prime is 20102102210131. The reversal of 20102102210120 is 2101220120102.

It is a super-2 number, since 2×20102102210120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20102102210095 and 20102102210104.

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, 8226914 + ... + 10386833.

It is an arithmetic number, because the mean of its divisors is an integer number (298401647625).

Almost surely, 2^{20102102210120} is an apocalyptic number.

20102102210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102102210120 is an abundant number, since it is smaller than the sum of its proper divisors (37191014133880).

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

20102102210120 is a wasteful number, since it uses less digits than its factorization.

20102102210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18613820 (or 18613809 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20102102210120 its reverse (2101220120102), we get a palindrome (22203322330222).

The spelling of 20102102210120 in words is "twenty trillion, one hundred two billion, one hundred two million, two hundred ten thousand, one hundred twenty".