100002210211121 has 16 divisors (see below), whose sum is σ = 101555122366800. Its totient is φ = 98464718069760.

The previous prime is 100002210211063. The next prime is 100002210211129. The reversal of 100002210211121 is 121112012200001.

It can be written as a sum of positive squares in 8 ways, for example, as 21617747961121 + 78384462250000 = 4649489^2 + 8853500^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100002210211121 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100002210211096 and 100002210211105.

It is not an unprimeable number, because it can be changed into a prime (100002210211129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1893011 + ... + 14268423.

It is an arithmetic number, because the mean of its divisors is an integer number (6347195147925).

Almost surely, 2^{100002210211121} is an apocalyptic number.

It is an amenable number.

100002210211121 is a deficient number, since it is larger than the sum of its proper divisors (1552912155679).

100002210211121 is a wasteful number, since it uses less digits than its factorization.

100002210211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12376036.

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

Adding to 100002210211121 its reverse (121112012200001), we get a palindrome (221114222411122).

The spelling of 100002210211121 in words is "one hundred trillion, two billion, two hundred ten million, two hundred eleven thousand, one hundred twenty-one".