110021112102011 has 16 divisors (see below), whose sum is σ = 120070978528896. Its totient is φ = 99979239360000.

The previous prime is 110021112101993. The next prime is 110021112102029. The reversal of 110021112102011 is 110201211120011.

It is an interprime number because it is at equal distance from previous prime (110021112101993) and next prime (110021112102029).

It is not a de Polignac number, because 110021112102011 - 2¹⁸ = 110021111839867 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110021112102061) 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 15 ways as a sum of consecutive naturals, for example, 1605386816 + ... + 1605455346.

It is an arithmetic number, because the mean of its divisors is an integer number (7504436158056).

Almost surely, 2^{110021112102011} is an apocalyptic number.

110021112102011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110021112102011 is a deficient number, since it is larger than the sum of its proper divisors (10049866426885).

110021112102011 is a wasteful number, since it uses less digits than its factorization.

110021112102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124714.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 110021112102011 its reverse (110201211120011), we get a palindrome (220222323222022).

The spelling of 110021112102011 in words is "one hundred ten trillion, twenty-one billion, one hundred twelve million, one hundred two thousand, eleven".