220102112121120 has 96 divisors (see below), whose sum is σ = 770357392439040. Its totient is φ = 58693896564480.

The previous prime is 220102112121119. The next prime is 220102112121127. The reversal of 220102112121120 is 21121211201022.

220102112121120 is a `hidden beast` number, since 2 + 201 + 0 + 211 + 21 + 211 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 220102112121093 and 220102112121102.

It is not an unprimeable number, because it can be changed into a prime (220102112121127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25474777176 + ... + 25474785815.

It is an arithmetic number, because the mean of its divisors is an integer number (8024556171240).

Almost surely, 2^{220102112121120} is an apocalyptic number.

220102112121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220102112121120 is an abundant number, since it is smaller than the sum of its proper divisors (550255280317920).

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

220102112121120 is a wasteful number, since it uses less digits than its factorization.

220102112121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50949563015 (or 50949563001 counting only the distinct ones).

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

Adding to 220102112121120 its reverse (21121211201022), we get a palindrome (241223323322142).

The spelling of 220102112121120 in words is "two hundred twenty trillion, one hundred two billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twenty".