1101101012011 has 32 divisors (see below), whose sum is σ = 1498653531648. Its totient is φ = 781151351040.

The previous prime is 1101101012009. The next prime is 1101101012059. The reversal of 1101101012011 is 1102101011011.

It is a cyclic number.

It is not a de Polignac number, because 1101101012011 - 2¹ = 1101101012009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1101101012111) 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 31 ways as a sum of consecutive naturals, for example, 7461181 + ... + 7607326.

It is an arithmetic number, because the mean of its divisors is an integer number (46832922864).

Almost surely, 2^{1101101012011} is an apocalyptic number.

1101101012011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1101101012011 is a deficient number, since it is larger than the sum of its proper divisors (397552519637).

1101101012011 is a wasteful number, since it uses less digits than its factorization.

1101101012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15068611.

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

Adding to 1101101012011 its reverse (1102101011011), we get a palindrome (2203202023022).

The spelling of 1101101012011 in words is "one trillion, one hundred one billion, one hundred one million, twelve thousand, eleven".