1100112112101 has 64 divisors (see below), whose sum is σ = 1621932871680. Its totient is φ = 660755128320.

The previous prime is 1100112112081. The next prime is 1100112112103. The reversal of 1100112112101 is 1012112110011.

It is not a de Polignac number, because 1100112112101 - 2⁹ = 1100112111589 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100112112103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22208281 + ... + 22257761.

It is an arithmetic number, because the mean of its divisors is an integer number (25342701120).

Almost surely, 2^{1100112112101} is an apocalyptic number.

It is an amenable number.

1100112112101 is a deficient number, since it is larger than the sum of its proper divisors (521820759579).

1100112112101 is a wasteful number, since it uses less digits than its factorization.

1100112112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49786.

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

Adding to 1100112112101 its reverse (1012112110011), we get a palindrome (2112224222112).

The spelling of 1100112112101 in words is "one trillion, one hundred billion, one hundred twelve million, one hundred twelve thousand, one hundred one".