1001100101123 has 2 divisors, whose sum is σ = 1001100101124. Its totient is φ = 1001100101122.

The previous prime is 1001100101011. The next prime is 1001100101137. The reversal of 1001100101123 is 3211010011001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1001100101123 - 2³⁸ = 726222194179 is a prime.

It is a super-2 number, since 2×1001100101123² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1001100101153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500550050561 + 500550050562.

It is an arithmetic number, because the mean of its divisors is an integer number (500550050562).

Almost surely, 2^{1001100101123} is an apocalyptic number.

1001100101123 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001100101123 is an equidigital number, since it uses as much as digits as its factorization.

1001100101123 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1001100101123 its reverse (3211010011001), we get a palindrome (4212110112124).

The spelling of 1001100101123 in words is "one trillion, one billion, one hundred million, one hundred one thousand, one hundred twenty-three".