100010111101123 has 2 divisors, whose sum is σ = 100010111101124. Its totient is φ = 100010111101122.

The previous prime is 100010111101099. The next prime is 100010111101133. The reversal of 100010111101123 is 321101111010001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100010111101123 - 2⁹ = 100010111100611 is a prime.

It is a super-2 number, since 2×100010111101123² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100010111101133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005055550561 + 50005055550562.

It is an arithmetic number, because the mean of its divisors is an integer number (50005055550562).

Almost surely, 2^{100010111101123} is an apocalyptic number.

100010111101123 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010111101123 is an equidigital number, since it uses as much as digits as its factorization.

100010111101123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 100010111101123 its reverse (321101111010001), we get a palindrome (421111222111124).

The spelling of 100010111101123 in words is "one hundred trillion, ten billion, one hundred eleven million, one hundred one thousand, one hundred twenty-three".