1101101123001 has 32 divisors (see below), whose sum is σ = 1616581710720. Its totient is φ = 666613432320.

The previous prime is 1101101122997. The next prime is 1101101123051. The reversal of 1101101123001 is 1003211011011.

It is not a de Polignac number, because 1101101123001 - 2² = 1101101122997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1101101123051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3561081 + ... + 3857913.

It is an arithmetic number, because the mean of its divisors is an integer number (50518178460).

Almost surely, 2^{1101101123001} is an apocalyptic number.

1101101123001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101101123001 is a deficient number, since it is larger than the sum of its proper divisors (515480587719).

1101101123001 is an equidigital number, since it uses as much as digits as its factorization.

1101101123001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297798 (or 297776 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 1101101123001 its reverse (1003211011011), we get a palindrome (2104312134012).

The spelling of 1101101123001 in words is "one trillion, one hundred one billion, one hundred one million, one hundred twenty-three thousand, one".