100112002200120 has 32 divisors (see below), whose sum is σ = 300336006600720. Its totient is φ = 26696533920000.

The previous prime is 100112002200101. The next prime is 100112002200169. The reversal of 100112002200120 is 21002200211001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100112002200096 and 100112002200105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417133342381 + ... + 417133342620.

Almost surely, 2^{100112002200120} is an apocalyptic number.

100112002200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112002200120 is an abundant number, since it is smaller than the sum of its proper divisors (200224004400600).

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

100112002200120 is a wasteful number, since it uses less digits than its factorization.

100112002200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834266685015 (or 834266685011 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100112002200120 its reverse (21002200211001), we get a palindrome (121114202411121).

The spelling of 100112002200120 in words is "one hundred trillion, one hundred twelve billion, two million, two hundred thousand, one hundred twenty".