11121110110110 has 192 divisors, whose sum is σ = 36107905430016. Its totient is φ = 2133119957760.

The previous prime is 11121110110093. The next prime is 11121110110127. The reversal of 11121110110110 is 1101101112111.

It is an interprime number because it is at equal distance from previous prime (11121110110093) and next prime (11121110110127).

It is a super-3 number, since 3×11121110110110³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16503004 + ... + 17163663.

It is an arithmetic number, because the mean of its divisors is an integer number (188062007448).

Almost surely, 2^{11121110110110} is an apocalyptic number.

11121110110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11121110110110 is an abundant number, since it is smaller than the sum of its proper divisors (24986795319906).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11121110110110 is a wasteful number, since it uses less digits than its factorization.

11121110110110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33666719 (or 33666708 counting only the distinct ones).

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

Adding to 11121110110110 its reverse (1101101112111), we get a palindrome (12222211222221).

The spelling of 11121110110110 in words is "eleven trillion, one hundred twenty-one billion, one hundred ten million, one hundred ten thousand, one hundred ten".