10121121001121 has 8 divisors (see below), whose sum is σ = 10899905835840. Its totient is φ = 9342370032912.

The previous prime is 10121121001109. The next prime is 10121121001127. The reversal of 10121121001121 is 12110012112101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10121121001121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10121121001096 and 10121121001105.

It is not an unprimeable number, because it can be changed into a prime (10121121001127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7844231 + ... + 9042908.

It is an arithmetic number, because the mean of its divisors is an integer number (1362488229480).

Almost surely, 2^{10121121001121} is an apocalyptic number.

It is an amenable number.

10121121001121 is a deficient number, since it is larger than the sum of its proper divisors (778784834719).

10121121001121 is a wasteful number, since it uses less digits than its factorization.

10121121001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16933255.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10121121001121 its reverse (12110012112101), we get a palindrome (22231133113222).

The spelling of 10121121001121 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-one million, one thousand, one hundred twenty-one".