10111000211121 has 16 divisors (see below), whose sum is σ = 13577798007360. Its totient is φ = 6692552110080.

The previous prime is 10111000211101. The next prime is 10111000211141. The reversal of 10111000211121 is 12111200011101.

It is an interprime number because it is at equal distance from previous prime (10111000211101) and next prime (10111000211141).

It is not a de Polignac number, because 10111000211121 - 2⁹ = 10111000210609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10111000211097 and 10111000211106.

It is not an unprimeable number, because it can be changed into a prime (10111000211101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14342740 + ... + 15031173.

It is an arithmetic number, because the mean of its divisors is an integer number (848612375460).

Almost surely, 2^{10111000211121} is an apocalyptic number.

It is an amenable number.

10111000211121 is a deficient number, since it is larger than the sum of its proper divisors (3466797796239).

10111000211121 is a wasteful number, since it uses less digits than its factorization.

10111000211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29374736.

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

Adding to 10111000211121 its reverse (12111200011101), we get a palindrome (22222200222222).

The spelling of 10111000211121 in words is "ten trillion, one hundred eleven billion, two hundred eleven thousand, one hundred twenty-one".