210120220101220 has 384 divisors, whose sum is σ = 543023650971648. Its totient is φ = 67269059020800.

The previous prime is 210120220101203. The next prime is 210120220101257. The reversal of 210120220101220 is 22101022021012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 210120220101194 and 210120220101203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1375208949 + ... + 1375361731.

It is an arithmetic number, because the mean of its divisors is an integer number (1414124091072).

Almost surely, 2^{210120220101220} is an apocalyptic number.

210120220101220 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 210120220101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271511825485824).

210120220101220 is an abundant number, since it is smaller than the sum of its proper divisors (332903430870428).

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

210120220101220 is a wasteful number, since it uses less digits than its factorization.

210120220101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153123 (or 153121 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 210120220101220 its reverse (22101022021012), we get a palindrome (232221242122232).

The spelling of 210120220101220 in words is "two hundred ten trillion, one hundred twenty billion, two hundred twenty million, one hundred one thousand, two hundred twenty".