11101011112101 has 32 divisors (see below), whose sum is σ = 15702154715520. Its totient is φ = 6951953567744.

The previous prime is 11101011112073. The next prime is 11101011112109. The reversal of 11101011112101 is 10121111010111.

It is a cyclic number.

It is not a de Polignac number, because 11101011112101 - 2⁵ = 11101011112069 is a prime.

It is a super-3 number, since 3×11101011112101³ (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101011112109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86823646 + ... + 86951408.

It is an arithmetic number, because the mean of its divisors is an integer number (490692334860).

Almost surely, 2^{11101011112101} is an apocalyptic number.

It is an amenable number.

11101011112101 is a deficient number, since it is larger than the sum of its proper divisors (4601143603419).

11101011112101 is a wasteful number, since it uses less digits than its factorization.

11101011112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131045.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 11101011112101 its reverse (10121111010111), we get a palindrome (21222122122212).

The spelling of 11101011112101 in words is "eleven trillion, one hundred one billion, eleven million, one hundred twelve thousand, one hundred one".