100112221000121 has 8 divisors (see below), whose sum is σ = 110595779241600. Its totient is φ = 89859070632240.

The previous prime is 100112221000093. The next prime is 100112221000201. The reversal of 100112221000121 is 121000122211001.

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 100112221000121 - 2¹⁴ = 100112220983737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100112221000096 and 100112221000105.

It is not an unprimeable number, because it can be changed into a prime (100115221000121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57601967486 + ... + 57601969223.

It is an arithmetic number, because the mean of its divisors is an integer number (13824472405200).

Almost surely, 2^{100112221000121} is an apocalyptic number.

100112221000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100112221000121 is a deficient number, since it is larger than the sum of its proper divisors (10483558241479).

100112221000121 is a wasteful number, since it uses less digits than its factorization.

100112221000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115203936799.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100112221000121 its reverse (121000122211001), we get a palindrome (221112343211122).

The spelling of 100112221000121 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty-one million, one hundred twenty-one", and thus it is an aban number.