110110022111100 has 144 divisors (see below), whose sum is σ = 362658020901120. Its totient is φ = 25532758732800.

The previous prime is 110110022111099. The next prime is 110110022111107. The reversal of 110110022111100 is 1111220011011.

It is a super-4 number, since 4×110110022111100⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110110022111107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 725286565 + ... + 725438364.

It is an arithmetic number, because the mean of its divisors is an integer number (2518458478480).

Almost surely, 2^{110110022111100} is an apocalyptic number.

110110022111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110110022111100 is an abundant number, since it is smaller than the sum of its proper divisors (252547998790020).

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

110110022111100 is a wasteful number, since it uses less digits than its factorization.

110110022111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450724980 (or 1450724973 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110110022111100 its reverse (1111220011011), we get a palindrome (111221242122111).

The spelling of 110110022111100 in words is "one hundred ten trillion, one hundred ten billion, twenty-two million, one hundred eleven thousand, one hundred".