120112202200100 has 54 divisors (see below), whose sum is σ = 286492418846802. Its totient is φ = 43677164432000.

The previous prime is 120112202200057. The next prime is 120112202200147. The reversal of 120112202200100 is 1002202211021.

It can be written as a sum of positive squares in 3 ways, for example, as 3311097008164 + 116801105191936 = 1819642^2 + 10807456^2 .

It is a super-2 number, since 2×120112202200100² (a number of 29 digits) contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 4963302041 + ... + 4963326240.

Almost surely, 2^{120112202200100} is an apocalyptic number.

120112202200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120112202200100 is an abundant number, since it is smaller than the sum of its proper divisors (166380216646702).

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

120112202200100 is a wasteful number, since it uses less digits than its factorization.

120112202200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9926628317 (or 9926628299 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120112202200100 its reverse (1002202211021), we get a palindrome (121114404411121).

The spelling of 120112202200100 in words is "one hundred twenty trillion, one hundred twelve billion, two hundred two million, two hundred thousand, one hundred".