101101112211011 has 16 divisors (see below), whose sum is σ = 111191387873280. Its totient is φ = 91161115476480.

The previous prime is 101101112211007. The next prime is 101101112211061. The reversal of 101101112211011 is 110112211101101.

It is a cyclic number.

It is not a de Polignac number, because 101101112211011 - 2² = 101101112211007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101101112211061) 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, 4992926 + ... + 15070883.

It is an arithmetic number, because the mean of its divisors is an integer number (6949461742080).

Almost surely, 2^{101101112211011} is an apocalyptic number.

101101112211011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101101112211011 is a deficient number, since it is larger than the sum of its proper divisors (10090275662269).

101101112211011 is a wasteful number, since it uses less digits than its factorization.

101101112211011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20067554.

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

Adding to 101101112211011 its reverse (110112211101101), we get a palindrome (211213323312112).

The spelling of 101101112211011 in words is "one hundred one trillion, one hundred one billion, one hundred twelve million, two hundred eleven thousand, eleven".