100112221012121 has 4 divisors (see below), whose sum is σ = 100172204369700. Its totient is φ = 100052237654544.

The previous prime is 100112221012079. The next prime is 100112221012123. The reversal of 100112221012121 is 121210122211001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 22613496283225 + 77498724728896 = 4755365^2 + 8803336^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112221012121 - 2⁶ = 100112221012057 is a prime.

It is a super-2 number, since 2×100112221012121² (a number of 29 digits) contains 22 as substring.

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 100112221012121.

It is not an unprimeable number, because it can be changed into a prime (100112221012123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29991676286 + ... + 29991679623.

It is an arithmetic number, because the mean of its divisors is an integer number (25043051092425).

Almost surely, 2^{100112221012121} is an apocalyptic number.

It is an amenable number.

100112221012121 is a deficient number, since it is larger than the sum of its proper divisors (59983357579).

100112221012121 is an equidigital number, since it uses as much as digits as its factorization.

100112221012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59983357578.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 100112221012121 its reverse (121210122211001), we get a palindrome (221322343223122).

The spelling of 100112221012121 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty-one million, twelve thousand, one hundred twenty-one".