111000012102121 has 2 divisors, whose sum is σ = 111000012102122. Its totient is φ = 111000012102120.

The previous prime is 111000012102107. The next prime is 111000012102139. The reversal of 111000012102121 is 121201210000111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56163558235225 + 54836453866896 = 7494235^2 + 7405164^2 .

It is a cyclic number.

It is not a de Polignac number, because 111000012102121 - 2¹⁷ = 111000011971049 is a prime.

It is a super-2 number, since 2×111000012102121² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111000012102101) 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 as a sum of consecutive naturals, namely, 55500006051060 + 55500006051061.

It is an arithmetic number, because the mean of its divisors is an integer number (55500006051061).

Almost surely, 2^{111000012102121} is an apocalyptic number.

It is an amenable number.

111000012102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

111000012102121 is an equidigital number, since it uses as much as digits as its factorization.

111000012102121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 111000012102121 its reverse (121201210000111), we get a palindrome (232201222102232).

The spelling of 111000012102121 in words is "one hundred eleven trillion, twelve million, one hundred two thousand, one hundred twenty-one".