1000102211123 has 2 divisors, whose sum is σ = 1000102211124. Its totient is φ = 1000102211122.

The previous prime is 1000102211083. The next prime is 1000102211131. The reversal of 1000102211123 is 3211122010001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1000102211123 - 2¹⁰ = 1000102210099 is a prime.

It is a super-2 number, since 2×1000102211123² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000102211098 and 1000102211107.

It is not a weakly prime, because it can be changed into another prime (1000102211153) 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, 500051105561 + 500051105562.

It is an arithmetic number, because the mean of its divisors is an integer number (500051105562).

Almost surely, 2^{1000102211123} is an apocalyptic number.

1000102211123 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000102211123 is an equidigital number, since it uses as much as digits as its factorization.

1000102211123 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 14.

Adding to 1000102211123 its reverse (3211122010001), we get a palindrome (4211224221124).

The spelling of 1000102211123 in words is "one trillion, one hundred two million, two hundred eleven thousand, one hundred twenty-three".