120101200100000 has 216 divisors, whose sum is σ = 343794503360700. Its totient is φ = 41177552640000.

The previous prime is 120101200099957. The next prime is 120101200100017. The reversal of 120101200100000 is 1002101021.

It can be written as a sum of positive squares in 6 ways, for example, as 5476854311824 + 114624345788176 = 2340268^2 + 10706276^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7355225 + ... + 17155224.

Almost surely, 2^{120101200100000} is an apocalyptic number.

120101200100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120101200100000 is an abundant number, since it is smaller than the sum of its proper divisors (223693303260700).

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

120101200100000 is an frugal number, since it uses more digits than its factorization.

120101200100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24510498 (or 24510463 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 120101200100000 its reverse (1002101021), we get a palindrome (120102202201021).

The spelling of 120101200100000 in words is "one hundred twenty trillion, one hundred one billion, two hundred million, one hundred thousand".