10111202121121 has 16 divisors (see below), whose sum is σ = 10810137719808. Its totient is φ = 9433962841600.

The previous prime is 10111202121113. The next prime is 10111202121131. The reversal of 10111202121121 is 12112120211101.

It is a cyclic number.

It is not a de Polignac number, because 10111202121121 - 2³ = 10111202121113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10111202121095 and 10111202121104.

It is not an unprimeable number, because it can be changed into a prime (10111202121131) 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 15 ways as a sum of consecutive naturals, for example, 4179225 + ... + 6139081.

It is an arithmetic number, because the mean of its divisors is an integer number (675633607488).

Almost surely, 2^{10111202121121} is an apocalyptic number.

It is an amenable number.

10111202121121 is a deficient number, since it is larger than the sum of its proper divisors (698935598687).

10111202121121 is a wasteful number, since it uses less digits than its factorization.

10111202121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965392.

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

Adding to 10111202121121 its reverse (12112120211101), we get a palindrome (22223322332222).

The spelling of 10111202121121 in words is "ten trillion, one hundred eleven billion, two hundred two million, one hundred twenty-one thousand, one hundred twenty-one".