1100012101111 has 64 divisors (see below), whose sum is σ = 1467427553280. Its totient is φ = 798238748160.

The previous prime is 1100012101057. The next prime is 1100012101129. The reversal of 1100012101111 is 1111012100011.

It is not a de Polignac number, because 1100012101111 - 2¹¹ = 1100012099063 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100012161111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212889250 + ... + 212894416.

It is an arithmetic number, because the mean of its divisors is an integer number (22928555520).

Almost surely, 2^{1100012101111} is an apocalyptic number.

1100012101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1100012101111 is a deficient number, since it is larger than the sum of its proper divisors (367415452169).

1100012101111 is a wasteful number, since it uses less digits than its factorization.

1100012101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6884.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1100012101111 its reverse (1111012100011), we get a palindrome (2211024201122).

The spelling of 1100012101111 in words is "one trillion, one hundred billion, twelve million, one hundred one thousand, one hundred eleven".