120111002200100 has 72 divisors (see below), whose sum is σ = 266292798336768. Its totient is φ = 47003388652800.

The previous prime is 120111002200061. The next prime is 120111002200169. The reversal of 120111002200100 is 1002200111021.

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 23 ways as a sum of consecutive naturals, for example, 6659120 + ... + 16869080.

Almost surely, 2^{120111002200100} is an apocalyptic number.

120111002200100 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 120111002200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133146399168384).

120111002200100 is an abundant number, since it is smaller than the sum of its proper divisors (146181796136668).

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

120111002200100 is a wasteful number, since it uses less digits than its factorization.

120111002200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10212525 (or 10212518 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120111002200100 its reverse (1002200111021), we get a palindrome (121113202311121).

The spelling of 120111002200100 in words is "one hundred twenty trillion, one hundred eleven billion, two million, two hundred thousand, one hundred".