120220103313100 has 288 divisors, whose sum is σ = 310402507968000. Its totient is φ = 39542427617280.

The previous prime is 120220103313073. The next prime is 120220103313109. The reversal of 120220103313100 is 1313301022021.

It is a super-2 number, since 2×120220103313100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120220103313109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4683826467 + ... + 4683852133.

It is an arithmetic number, because the mean of its divisors is an integer number (1077786486000).

Almost surely, 2^{120220103313100} is an apocalyptic number.

120220103313100 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 120220103313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155201253984000).

120220103313100 is an abundant number, since it is smaller than the sum of its proper divisors (190182404654900).

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

120220103313100 is a wasteful number, since it uses less digits than its factorization.

120220103313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27185 (or 27178 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 120220103313100 its reverse (1313301022021), we get a palindrome (121533404335121).

The spelling of 120220103313100 in words is "one hundred twenty trillion, two hundred twenty billion, one hundred three million, three hundred thirteen thousand, one hundred".