220102211211120 has 800 divisors, whose sum is σ = 879878916145152. Its totient is φ = 49951830104064.

The previous prime is 220102211211109. The next prime is 220102211211137. The reversal of 220102211211120 is 21112112201022.

220102211211120 is a `hidden beast` number, since 2 + 20 + 102 + 211 + 211 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220102211211093 and 220102211211102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3874123834 + ... + 3874180646.

Almost surely, 2^{220102211211120} is an apocalyptic number.

220102211211120 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 220102211211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439939458072576).

220102211211120 is an abundant number, since it is smaller than the sum of its proper divisors (659776704934032).

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

220102211211120 is a wasteful number, since it uses less digits than its factorization.

220102211211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57451 (or 57436 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 220102211211120 its reverse (21112112201022), we get a palindrome (241214323412142).

The spelling of 220102211211120 in words is "two hundred twenty trillion, one hundred two billion, two hundred eleven million, two hundred eleven thousand, one hundred twenty".