10001202121121 has 8 divisors (see below), whose sum is σ = 10008176655360. Its totient is φ = 9994228744752.

The previous prime is 10001202121069. The next prime is 10001202121213. The reversal of 10001202121121 is 12112120210001.

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 10001202121121 - 2²⁶ = 10001135012257 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 = 10001202121096 and 10001202121105.

It is not an unprimeable number, because it can be changed into a prime (10001202121321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17366090 + ... + 17932748.

It is an arithmetic number, because the mean of its divisors is an integer number (1251022081920).

Almost surely, 2^{10001202121121} is an apocalyptic number.

It is an amenable number.

10001202121121 is a deficient number, since it is larger than the sum of its proper divisors (6974534239).

10001202121121 is a wasteful number, since it uses less digits than its factorization.

10001202121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578935.

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

Adding to 10001202121121 its reverse (12112120210001), we get a palindrome (22113322331122).

The spelling of 10001202121121 in words is "ten trillion, one billion, two hundred two million, one hundred twenty-one thousand, one hundred twenty-one".