100122220211120 has 80 divisors (see below), whose sum is σ = 252209379486240. Its totient is φ = 36816488067072.

The previous prime is 100122220211053. The next prime is 100122220211129. The reversal of 100122220211120 is 21112022221001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (100122220211129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 855979655 + ... + 856096614.

It is an arithmetic number, because the mean of its divisors is an integer number (3152617243578).

Almost surely, 2^{100122220211120} is an apocalyptic number.

100122220211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122220211120 is an abundant number, since it is smaller than the sum of its proper divisors (152087159275120).

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

100122220211120 is a wasteful number, since it uses less digits than its factorization.

100122220211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712076342 (or 1712076336 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100122220211120 its reverse (21112022221001), we get a palindrome (121234242432121).

The spelling of 100122220211120 in words is "one hundred trillion, one hundred twenty-two billion, two hundred twenty million, two hundred eleven thousand, one hundred twenty".