120200100100 has 36 divisors (see below), whose sum is σ = 263142509364. Its totient is φ = 47654548480.

The previous prime is 120200100043. The next prime is 120200100161. The reversal of 120200100100 is 1001002021.

It can be written as a sum of positive squares in 6 ways, for example, as 22045716484 + 98154383616 = 148478^2 + 313296^2 .

It is an unprimeable number.

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, 5307289 + ... + 5329888.

It is an arithmetic number, because the mean of its divisors is an integer number (7309514149).

Almost surely, 2^120200100100 is an apocalyptic number.

120200100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120200100100 is an abundant number, since it is smaller than the sum of its proper divisors (142942409264).

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

120200100100 is a wasteful number, since it uses less digits than its factorization.

120200100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10637304 (or 10637297 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 120200100100 its reverse (1001002021), we get a palindrome (121201102121).

The spelling of 120200100100 in words is "one hundred twenty billion, two hundred million, one hundred thousand, one hundred".