1101112211001 has 16 divisors (see below), whose sum is σ = 1635694737408. Its totient is φ = 653141994000.

The previous prime is 1101112210981. The next prime is 1101112211041. The reversal of 1101112211001 is 1001122111011.

It is not a de Polignac number, because 1101112211001 - 2⁹ = 1101112210489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1101112211041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354966925 + ... + 354970026.

It is an arithmetic number, because the mean of its divisors is an integer number (102230921088).

Almost surely, 2^{1101112211001} is an apocalyptic number.

1101112211001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101112211001 is a deficient number, since it is larger than the sum of its proper divisors (534582526407).

1101112211001 is a wasteful number, since it uses less digits than its factorization.

1101112211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709937012.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1101112211001 its reverse (1001122111011), we get a palindrome (2102234322012).

The spelling of 1101112211001 in words is "one trillion, one hundred one billion, one hundred twelve million, two hundred eleven thousand, one".