110120101021011 has 32 divisors (see below), whose sum is σ = 148764401660160. Its totient is φ = 72449602640000.

The previous prime is 110120101021003. The next prime is 110120101021027.

110120101021011 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 110120101021011 - 2³ = 110120101021003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110120101021031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170703076 + ... + 171346958.

It is an arithmetic number, because the mean of its divisors is an integer number (4648887551880).

Almost surely, 2^{110120101021011} is an apocalyptic number.

110120101021011 is a deficient number, since it is larger than the sum of its proper divisors (38644300639149).

110120101021011 is a wasteful number, since it uses less digits than its factorization.

110120101021011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645827.

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

It can be divided in two parts, 11012010 and 1021011, that added together give a palindrome (12033021).

The spelling of 110120101021011 in words is "one hundred ten trillion, one hundred twenty billion, one hundred one million, twenty-one thousand, eleven".