100111012121123 has 2 divisors, whose sum is σ = 100111012121124. Its totient is φ = 100111012121122.

The previous prime is 100111012121053. The next prime is 100111012121189. The reversal of 100111012121123 is 321121210111001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100111012121123 - 2¹⁰ = 100111012120099 is a prime.

It is a super-2 number, since 2×100111012121123² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100111012121623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055506060561 + 50055506060562.

It is an arithmetic number, because the mean of its divisors is an integer number (50055506060562).

Almost surely, 2^{100111012121123} is an apocalyptic number.

100111012121123 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111012121123 is an equidigital number, since it uses as much as digits as its factorization.

100111012121123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 100111012121123 its reverse (321121210111001), we get a palindrome (421232222232124).

The spelling of 100111012121123 in words is "one hundred trillion, one hundred eleven billion, twelve million, one hundred twenty-one thousand, one hundred twenty-three".