100122201222121 has 8 divisors (see below), whose sum is σ = 107824068585800. Its totient is φ = 92420356655232.

The previous prime is 100122201222079. The next prime is 100122201222149. The reversal of 100122201222121 is 121222102221001.

It can be written as a sum of positive squares in 4 ways, for example, as 3055154410000 + 97067046812121 = 1747900^2 + 9852261^2 .

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 100122201222121 - 2¹⁹ = 100122200697833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100122201222181) 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, 4038805 + ... + 14715853.

It is an arithmetic number, because the mean of its divisors is an integer number (13478008573225).

Almost surely, 2^{100122201222121} is an apocalyptic number.

It is an amenable number.

100122201222121 is a deficient number, since it is larger than the sum of its proper divisors (7701867363679).

100122201222121 is a wasteful number, since it uses less digits than its factorization.

100122201222121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11398395.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 100122201222121 its reverse (121222102221001), we get a palindrome (221344303443122).

The spelling of 100122201222121 in words is "one hundred trillion, one hundred twenty-two billion, two hundred one million, two hundred twenty-two thousand, one hundred twenty-one".