120000100000100 has 36 divisors (see below), whose sum is σ = 264669073030068. Its totient is φ = 47213154096000.

The previous prime is 120000100000049. The next prime is 120000100000103. The reversal of 120000100000100 is 1000001000021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 18338333099584 + 101661766900516 = 4282328^2 + 10082746^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (120000100000103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9836067671 + ... + 9836079870.

Almost surely, 2^{120000100000100} is an apocalyptic number.

120000100000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120000100000100 is an abundant number, since it is smaller than the sum of its proper divisors (144668973029968).

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

120000100000100 is a wasteful number, since it uses less digits than its factorization.

120000100000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19672147616 (or 19672147609 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 120000100000100 its reverse (1000001000021), we get a palindrome (121000101000121).

The spelling of 120000100000100 in words is "one hundred twenty trillion, one hundred million, one hundred", and thus it is an aban number.