120102223310100 has 864 divisors, whose sum is σ = 429611713090560. Its totient is φ = 27874699776000.

The previous prime is 120102223310053. The next prime is 120102223310107. The reversal of 120102223310100 is 1013322201021.

120102223310100 is a `hidden beast` number, since 1 + 2 + 0 + 10 + 222 + 331 + 0 + 100 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120102223310107) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 37637799505 + ... + 37637802695.

It is an arithmetic number, because the mean of its divisors is an integer number (497235779040).

Almost surely, 2^{120102223310100} is an apocalyptic number.

120102223310100 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 120102223310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214805856545280).

120102223310100 is an abundant number, since it is smaller than the sum of its proper divisors (309509489780460).

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

120102223310100 is a wasteful number, since it uses less digits than its factorization.

120102223310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6301 (or 6291 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120102223310100 its reverse (1013322201021), we get a palindrome (121115545511121).

The spelling of 120102223310100 in words is "one hundred twenty trillion, one hundred two billion, two hundred twenty-three million, three hundred ten thousand, one hundred".