100011222120221 has 8 divisors (see below), whose sum is σ = 107725972775424. Its totient is φ = 92577007852560.

The previous prime is 100011222120197. The next prime is 100011222120301. The reversal of 100011222120221 is 122021222110001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100011222120221 - 2¹⁸ = 100011221858077 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100011222120221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011522120221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70134096146 + ... + 70134097571.

It is an arithmetic number, because the mean of its divisors is an integer number (13465746596928).

Almost surely, 2^{100011222120221} is an apocalyptic number.

It is an amenable number.

100011222120221 is a deficient number, since it is larger than the sum of its proper divisors (7714750655203).

100011222120221 is a wasteful number, since it uses less digits than its factorization.

100011222120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140268193771.

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

Adding to 100011222120221 its reverse (122021222110001), we get a palindrome (222032444230222).

The spelling of 100011222120221 in words is "one hundred trillion, eleven billion, two hundred twenty-two million, one hundred twenty thousand, two hundred twenty-one".