1101101000123 has 8 divisors (see below), whose sum is σ = 1160114139600. Its totient is φ = 1042193906208.

The previous prime is 1101101000117. The next prime is 1101101000137. The reversal of 1101101000123 is 3210001011011.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1101101000123 - 2⁶ = 1101101000059 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1101101000023) 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 in 7 ways as a sum of consecutive naturals, for example, 26490068 + ... + 26531601.

It is an arithmetic number, because the mean of its divisors is an integer number (145014267450).

Almost surely, 2^{1101101000123} is an apocalyptic number.

1101101000123 is a deficient number, since it is larger than the sum of its proper divisors (59013139477).

1101101000123 is a wasteful number, since it uses less digits than its factorization.

1101101000123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53022781.

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

Adding to 1101101000123 its reverse (3210001011011), we get a palindrome (4311102011134).

The spelling of 1101101000123 in words is "one trillion, one hundred one billion, one hundred one million, one hundred twenty-three", and thus it is an aban number.