100222122111020 has 192 divisors, whose sum is σ = 263513556633600. Its totient is φ = 31170690293760.

The previous prime is 100222122111011. The next prime is 100222122111029. The reversal of 100222122111020 is 20111221222001.

It is an interprime number because it is at equal distance from previous prime (100222122111011) and next prime (100222122111029).

It is a self number, because there is not a number n which added to its sum of digits gives 100222122111020.

It is not an unprimeable number, because it can be changed into a prime (100222122111029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 326389121 + ... + 326696039.

It is an arithmetic number, because the mean of its divisors is an integer number (1372466440800).

Almost surely, 2^{100222122111020} is an apocalyptic number.

100222122111020 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 100222122111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131756778316800).

100222122111020 is an abundant number, since it is smaller than the sum of its proper divisors (163291434522580).

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

100222122111020 is a wasteful number, since it uses less digits than its factorization.

100222122111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310048 (or 310046 counting only the distinct ones).

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

Adding to 100222122111020 its reverse (20111221222001), we get a palindrome (120333343333021).

The spelling of 100222122111020 in words is "one hundred trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred eleven thousand, twenty".