10101222001121 has 4 divisors (see below), whose sum is σ = 10201234100244. Its totient is φ = 10001209902000.

The previous prime is 10101222001111. The next prime is 10101222001151. The reversal of 10101222001121 is 12110022210101.

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 9532261054096 + 568960947025 = 3087436^2 + 754295^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101222001121 - 2⁴² = 5703175490017 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 = 10101222001096 and 10101222001105.

It is not an unprimeable number, because it can be changed into a prime (10101222001111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50006049410 + ... + 50006049611.

It is an arithmetic number, because the mean of its divisors is an integer number (2550308525061).

Almost surely, 2^{10101222001121} is an apocalyptic number.

It is an amenable number.

10101222001121 is a deficient number, since it is larger than the sum of its proper divisors (100012099123).

10101222001121 is a wasteful number, since it uses less digits than its factorization.

10101222001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100012099122.

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

Adding to 10101222001121 its reverse (12110022210101), we get a palindrome (22211244211222).

The spelling of 10101222001121 in words is "ten trillion, one hundred one billion, two hundred twenty-two million, one thousand, one hundred twenty-one".