20102212110120 has 256 divisors, whose sum is σ = 69051999744000. Its totient is φ = 4586120970240.

The previous prime is 20102212110119. The next prime is 20102212110223. The reversal of 20102212110120 is 2101121220102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20102212110120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3191330731 + ... + 3191337029.

It is an arithmetic number, because the mean of its divisors is an integer number (269734374000).

Almost surely, 2^{20102212110120} is an apocalyptic number.

20102212110120 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 20102212110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34525999872000).

20102212110120 is an abundant number, since it is smaller than the sum of its proper divisors (48949787633880).

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

20102212110120 is a wasteful number, since it uses less digits than its factorization.

20102212110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12888 (or 12884 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20102212110120 its reverse (2101121220102), we get a palindrome (22203333330222).

The spelling of 20102212110120 in words is "twenty trillion, one hundred two billion, two hundred twelve million, one hundred ten thousand, one hundred twenty".