11101012121111 has 16 divisors (see below), whose sum is σ = 12130426595328. Its totient is φ = 10074983536800.

The previous prime is 11101012121063. The next prime is 11101012121161. The reversal of 11101012121111 is 11112121010111.

It is a cyclic number.

It is not a de Polignac number, because 11101012121111 - 2²⁶ = 11100945012247 is a prime.

It is a super-3 number, since 3×11101012121111³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101012121161) 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, 15606626 + ... + 16302416.

It is an arithmetic number, because the mean of its divisors is an integer number (758151662208).

Almost surely, 2^{11101012121111} is an apocalyptic number.

11101012121111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11101012121111 is a deficient number, since it is larger than the sum of its proper divisors (1029414474217).

11101012121111 is a wasteful number, since it uses less digits than its factorization.

11101012121111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698222.

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

Adding to 11101012121111 its reverse (11112121010111), we get a palindrome (22213133131222).

The spelling of 11101012121111 in words is "eleven trillion, one hundred one billion, twelve million, one hundred twenty-one thousand, one hundred eleven".