100222210221100 has 216 divisors, whose sum is σ = 242189743176864. Its totient is φ = 35968183680000.

The previous prime is 100222210221097. The next prime is 100222210221113. The reversal of 100222210221100 is 1122012222001.

It is a happy number.

It is a super-4 number, since 4×100222210221100⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 382386297 + ... + 382648303.

It is an arithmetic number, because the mean of its divisors is an integer number (1121248811004).

Almost surely, 2^{100222210221100} is an apocalyptic number.

100222210221100 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 100222210221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121094871588432).

100222210221100 is an abundant number, since it is smaller than the sum of its proper divisors (141967532955764).

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

100222210221100 is a wasteful number, since it uses less digits than its factorization.

100222210221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262457 (or 262439 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100222210221100 its reverse (1122012222001), we get a palindrome (101344222443101).

The spelling of 100222210221100 in words is "one hundred trillion, two hundred twenty-two billion, two hundred ten million, two hundred twenty-one thousand, one hundred".