101101122111011 has 8 divisors (see below), whose sum is σ = 110299788839424. Its totient is φ = 91903731320520.

The previous prime is 101101122110993. The next prime is 101101122111019. The reversal of 101101122111011 is 110111221101101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101101122111011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101122111019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318818795 + ... + 319135748.

It is an arithmetic number, because the mean of its divisors is an integer number (13787473604928).

Almost surely, 2^{101101122111011} is an apocalyptic number.

101101122111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101101122111011 is a deficient number, since it is larger than the sum of its proper divisors (9198666728413).

101101122111011 is a wasteful number, since it uses less digits than its factorization.

101101122111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637968961.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 101101122111011 its reverse (110111221101101), we get a palindrome (211212343212112).

The spelling of 101101122111011 in words is "one hundred one trillion, one hundred one billion, one hundred twenty-two million, one hundred eleven thousand, eleven".