120100100101220 has 192 divisors, whose sum is σ = 274542205049280. Its totient is φ = 43962256588800.

The previous prime is 120100100101211. The next prime is 120100100101243. The reversal of 120100100101220 is 22101001001021.

It can be written as a sum of positive squares in 32 ways, for example, as 111929798177344 + 8170301923876 = 10579688^2 + 2858374^2 .

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, 13144364492 + ... + 13144373628.

It is an arithmetic number, because the mean of its divisors is an integer number (1429907317965).

Almost surely, 2^{120100100101220} is an apocalyptic number.

120100100101220 is a gapful number since it is divisible by the number (10) 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 120100100101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137271102524640).

120100100101220 is an abundant number, since it is smaller than the sum of its proper divisors (154442104948060).

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

120100100101220 is a wasteful number, since it uses less digits than its factorization.

120100100101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16434 (or 16432 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120100100101220 its reverse (22101001001021), we get a palindrome (142201101102241).

The spelling of 120100100101220 in words is "one hundred twenty trillion, one hundred billion, one hundred million, one hundred one thousand, two hundred twenty".