110120022100011 has 64 divisors (see below), whose sum is σ = 185591242690560. Its totient is φ = 56415597767040.

The previous prime is 110120022100009. The next prime is 110120022100057. The reversal of 110120022100011 is 110001220021011.

It is not a de Polignac number, because 110120022100011 - 2¹ = 110120022100009 is a prime.

It is a super-2 number, since 2×110120022100011² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 110120022100011.

It is not an unprimeable number, because it can be changed into a prime (110120022100061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5693605 + ... + 15895193.

It is an arithmetic number, because the mean of its divisors is an integer number (2899863167040).

Almost surely, 2^{110120022100011} is an apocalyptic number.

110120022100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110120022100011 is a deficient number, since it is larger than the sum of its proper divisors (75471220590549).

110120022100011 is a wasteful number, since it uses less digits than its factorization.

110120022100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10202256.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110120022100011 its reverse (110001220021011), we get a palindrome (220121242121022).

The spelling of 110120022100011 in words is "one hundred ten trillion, one hundred twenty billion, twenty-two million, one hundred thousand, eleven".