100110222101120 has 256 divisors, whose sum is σ = 302157446860800. Its totient is φ = 30808207872000.

The previous prime is 100110222101003. The next prime is 100110222101143. The reversal of 100110222101120 is 21101222011001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 100110222101095 and 100110222101104.

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 31 ways as a sum of consecutive naturals, for example, 8964206 + ... + 16750445.

It is an arithmetic number, because the mean of its divisors is an integer number (1180302526800).

Almost surely, 2^{100110222101120} is an apocalyptic number.

100110222101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110222101120 is an abundant number, since it is smaller than the sum of its proper divisors (202047224759680).

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

100110222101120 is a wasteful number, since it uses less digits than its factorization.

100110222101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25714767 (or 25714755 counting only the distinct ones).

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

Adding to 100110222101120 its reverse (21101222011001), we get a palindrome (121211444112121).

The spelling of 100110222101120 in words is "one hundred trillion, one hundred ten billion, two hundred twenty-two million, one hundred one thousand, one hundred twenty".