10221200110011 has 32 divisors (see below), whose sum is σ = 15490215346176. Its totient is φ = 5938812180000.

The previous prime is 10221200109941. The next prime is 10221200110031. The reversal of 10221200110011 is 11001100212201.

10221200110011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10221200110011 - 2²⁷ = 10221065892283 is a prime.

10221200110011 is a modest number, since divided by 110011 gives 102212 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10221200110031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46579315 + ... + 46798236.

It is an arithmetic number, because the mean of its divisors is an integer number (484069229568).

Almost surely, 2^{10221200110011} is an apocalyptic number.

10221200110011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10221200110011 is a deficient number, since it is larger than the sum of its proper divisors (5269015236165).

10221200110011 is a wasteful number, since it uses less digits than its factorization.

10221200110011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93377703.

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

Adding to 10221200110011 its reverse (11001100212201), we get a palindrome (21222300322212).

The spelling of 10221200110011 in words is "ten trillion, two hundred twenty-one billion, two hundred million, one hundred ten thousand, eleven".