110102211022111 has 128 divisors (see below), whose sum is σ = 144454434324480. Its totient is φ = 81456297753600.

The previous prime is 110102211022061. The next prime is 110102211022117. The reversal of 110102211022111 is 111220112201011.

It is not a de Polignac number, because 110102211022111 - 2²⁹ = 110101674151199 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110102211022117) 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 127 ways as a sum of consecutive naturals, for example, 11305284280 + ... + 11305294018.

It is an arithmetic number, because the mean of its divisors is an integer number (1128550268160).

Almost surely, 2^{110102211022111} is an apocalyptic number.

110102211022111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110102211022111 is a deficient number, since it is larger than the sum of its proper divisors (34352223302369).

110102211022111 is a wasteful number, since it uses less digits than its factorization.

110102211022111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10565.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 110102211022111 its reverse (111220112201011), we get a palindrome (221322323223122).

The spelling of 110102211022111 in words is "one hundred ten trillion, one hundred two billion, two hundred eleven million, twenty-two thousand, one hundred eleven".