10121111121 has 64 divisors (see below), whose sum is σ = 15754152960. Its totient is φ = 5715360000.

The previous prime is 10121111101. The next prime is 10121111191. The reversal of 10121111121 is 12111112101.

10121111121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10121111121 - 2⁶ = 10121111057 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10121111097 and 10121111106.

It is not an unprimeable number, because it can be changed into a prime (10121111101) 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 63 ways as a sum of consecutive naturals, for example, 11461746 + ... + 11462628.

It is an arithmetic number, because the mean of its divisors is an integer number (246158640).

Almost surely, 2^10121111121 is an apocalyptic number.

10121111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121111121 is a deficient number, since it is larger than the sum of its proper divisors (5633041839).

10121111121 is a wasteful number, since it uses less digits than its factorization.

10121111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10121111121 its reverse (12111112101), we get a palindrome (22232223222).

The spelling of 10121111121 in words is "ten billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twenty-one".