10122111221121 has 24 divisors (see below), whose sum is σ = 14626235832936. Its totient is φ = 6745578428160.

The previous prime is 10122111221119. The next prime is 10122111221149. The reversal of 10122111221121 is 12112211122101.

It is a happy number.

10122111221121 is a `hidden beast` number, since 101 + 221 + 1 + 1 + 221 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 771138641025 + 9350972580096 = 878145^2 + 3057936^2 .

It is not a de Polignac number, because 10122111221121 - 2¹ = 10122111221119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10122111221094 and 10122111221103.

It is not an unprimeable number, because it can be changed into a prime (10122111221821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328187661 + ... + 328218501.

It is an arithmetic number, because the mean of its divisors is an integer number (609426493039).

Almost surely, 2^{10122111221121} is an apocalyptic number.

It is an amenable number.

10122111221121 is a deficient number, since it is larger than the sum of its proper divisors (4504124611815).

10122111221121 is a wasteful number, since it uses less digits than its factorization.

10122111221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43153 (or 43150 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 10122111221121 its reverse (12112211122101), we get a palindrome (22234322343222).

The spelling of 10122111221121 in words is "ten trillion, one hundred twenty-two billion, one hundred eleven million, two hundred twenty-one thousand, one hundred twenty-one".