10111000112121 has 32 divisors (see below), whose sum is σ = 14150658981888. Its totient is φ = 6409541255040.

The previous prime is 10111000112111. The next prime is 10111000112131. The reversal of 10111000112121 is 12121100011101.

It is an interprime number because it is at equal distance from previous prime (10111000112111) and next prime (10111000112131).

It is not a de Polignac number, because 10111000112121 - 2¹⁹ = 10110999587833 is a prime.

It is a super-2 number, since 2×10111000112121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10111000112097 and 10111000112106.

It is not an unprimeable number, because it can be changed into a prime (10111000112111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12071880 + ... + 12882246.

It is an arithmetic number, because the mean of its divisors is an integer number (442208093184).

Almost surely, 2^{10111000112121} is an apocalyptic number.

It is an amenable number.

10111000112121 is a deficient number, since it is larger than the sum of its proper divisors (4039658869767).

10111000112121 is a wasteful number, since it uses less digits than its factorization.

10111000112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811461.

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

Adding to 10111000112121 its reverse (12121100011101), we get a palindrome (22232100123222).

The spelling of 10111000112121 in words is "ten trillion, one hundred eleven billion, one hundred twelve thousand, one hundred twenty-one".