100221121122121 has 8 divisors (see below), whose sum is σ = 103777386859080. Its totient is φ = 96671546385792.

The previous prime is 100221121122107. The next prime is 100221121122151. The reversal of 100221121122121 is 121221121122001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 31851970500025 + 68369150622096 = 5643755^2 + 8268564^2 .

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 100221121122121 - 2¹¹ = 100221121120073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100221121122151) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1672719670 + ... + 1672779583.

It is an arithmetic number, because the mean of its divisors is an integer number (12972173357385).

Almost surely, 2^{100221121122121} is an apocalyptic number.

It is an amenable number.

100221121122121 is a deficient number, since it is larger than the sum of its proper divisors (3556265736959).

100221121122121 is a wasteful number, since it uses less digits than its factorization.

100221121122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345500315.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 100221121122121 its reverse (121221121122001), we get a palindrome (221442242244122).

The spelling of 100221121122121 in words is "one hundred trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-one".