1100120211201 has 32 divisors (see below), whose sum is σ = 1631783843712. Its totient is φ = 653590978560.

The previous prime is 1100120211181. The next prime is 1100120211257. The reversal of 1100120211201 is 1021120210011.

It is not a de Polignac number, because 1100120211201 - 2²² = 1100116016897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1100120211401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1743831 + ... + 2289363.

It is an arithmetic number, because the mean of its divisors is an integer number (50993245116).

Almost surely, 2^{1100120211201} is an apocalyptic number.

1100120211201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100120211201 is a deficient number, since it is larger than the sum of its proper divisors (531663632511).

1100120211201 is a wasteful number, since it uses less digits than its factorization.

1100120211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546753.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1100120211201 its reverse (1021120210011), we get a palindrome (2121240421212).

It can be divided in two parts, 11001 and 20211201, that added together give a palindrome (20222202).

The spelling of 1100120211201 in words is "one trillion, one hundred billion, one hundred twenty million, two hundred eleven thousand, two hundred one".