100222200120020 has 576 divisors, whose sum is σ = 253156247285760. Its totient is φ = 33201315840000.

The previous prime is 100222200120001. The next prime is 100222200120023. The reversal of 100222200120020 is 20021002222001.

It is a junction number, because it is equal to n+sod(n) for n = 100222200119977 and 100222200120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222200120023) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35780862620 + ... + 35780865420.

It is an arithmetic number, because the mean of its divisors is an integer number (439507373760).

Almost surely, 2^{100222200120020} is an apocalyptic number.

100222200120020 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 100222200120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126578123642880).

100222200120020 is an abundant number, since it is smaller than the sum of its proper divisors (152934047165740).

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

100222200120020 is a wasteful number, since it uses less digits than its factorization.

100222200120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100222200120020 its reverse (20021002222001), we get a palindrome (120243202342021).

The spelling of 100222200120020 in words is "one hundred trillion, two hundred twenty-two billion, two hundred million, one hundred twenty thousand, twenty".