100110012221120 has 112 divisors (see below), whose sum is σ = 260622631485216. Its totient is φ = 36324673536000.

The previous prime is 100110012221119. The next prime is 100110012221129. The reversal of 100110012221120 is 21122210011001.

It is a junction number, because it is equal to n+sod(n) for n = 100110012221095 and 100110012221104.

It is not an unprimeable number, because it can be changed into a prime (100110012221129) 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 15 ways as a sum of consecutive naturals, for example, 29223641 + ... + 32469080.

It is an arithmetic number, because the mean of its divisors is an integer number (2326987781118).

Almost surely, 2^{100110012221120} is an apocalyptic number.

100110012221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110012221120 is an abundant number, since it is smaller than the sum of its proper divisors (160512619264096).

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

100110012221120 is a wasteful number, since it uses less digits than its factorization.

100110012221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61693210 (or 61693200 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100110012221120 its reverse (21122210011001), we get a palindrome (121232222232121).

The spelling of 100110012221120 in words is "one hundred trillion, one hundred ten billion, twelve million, two hundred twenty-one thousand, one hundred twenty".