10122000201121 has 8 divisors (see below), whose sum is σ = 10176048549000. Its totient is φ = 10067968376832.

The previous prime is 10122000201119. The next prime is 10122000201133. The reversal of 10122000201121 is 12110200022101.

It can be written as a sum of positive squares in 4 ways, for example, as 206202269025 + 9915797932096 = 454095^2 + 3148936^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10122000201121 - 2¹ = 10122000201119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10122000201101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2901496 + ... + 5353753.

It is an arithmetic number, because the mean of its divisors is an integer number (1272006068625).

Almost surely, 2^{10122000201121} is an apocalyptic number.

It is an amenable number.

10122000201121 is a deficient number, since it is larger than the sum of its proper divisors (54048347879).

10122000201121 is an equidigital number, since it uses as much as digits as its factorization.

10122000201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8261795.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10122000201121 its reverse (12110200022101), we get a palindrome (22232200223222).

The spelling of 10122000201121 in words is "ten trillion, one hundred twenty-two billion, two hundred one thousand, one hundred twenty-one".