10111011022121 has 16 divisors (see below), whose sum is σ = 10275716254848. Its totient is φ = 9947595744000.

The previous prime is 10111011022117. The next prime is 10111011022129. The reversal of 10111011022121 is 12122011011101.

It is a cyclic number.

It is not a de Polignac number, because 10111011022121 - 2² = 10111011022117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10111011022096 and 10111011022105.

It is not an unprimeable number, because it can be changed into a prime (10111011022129) 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, 90935441 + ... + 91046561.

It is an arithmetic number, because the mean of its divisors is an integer number (642232265928).

Almost surely, 2^{10111011022121} is an apocalyptic number.

It is an amenable number.

10111011022121 is a deficient number, since it is larger than the sum of its proper divisors (164705232727).

10111011022121 is a wasteful number, since it uses less digits than its factorization.

10111011022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116912.

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

Adding to 10111011022121 its reverse (12122011011101), we get a palindrome (22233022033222).

The spelling of 10111011022121 in words is "ten trillion, one hundred eleven billion, eleven million, twenty-two thousand, one hundred twenty-one".