10122000121121 has 16 divisors (see below), whose sum is σ = 11588047910400. Its totient is φ = 8660972167488.

The previous prime is 10122000121099. The next prime is 10122000121153. The reversal of 10122000121121 is 12112100022101.

It is a cyclic number.

It is not a de Polignac number, because 10122000121121 - 2¹⁰ = 10122000120097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10122000121096 and 10122000121105.

It is not an unprimeable number, because it can be changed into a prime (10122000121621) 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, 15152651 + ... + 15806543.

It is an arithmetic number, because the mean of its divisors is an integer number (724252994400).

Almost surely, 2^{10122000121121} is an apocalyptic number.

It is an amenable number.

10122000121121 is a deficient number, since it is larger than the sum of its proper divisors (1466047789279).

10122000121121 is an equidigital number, since it uses as much as digits as its factorization.

10122000121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657728.

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

Adding to 10122000121121 its reverse (12112100022101), we get a palindrome (22234100143222).

The spelling of 10122000121121 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-one thousand, one hundred twenty-one".