10022122100011 has 16 divisors (see below), whose sum is σ = 11723062489600. Its totient is φ = 8388580693248.

The previous prime is 10022122100009. The next prime is 10022122100093. The reversal of 10022122100011 is 11000122122001.

It is not a de Polignac number, because 10022122100011 - 2¹ = 10022122100009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10022122099964 and 10022122100000.

It is not an unprimeable number, because it can be changed into a prime (10022122100311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2789151 + ... + 5274808.

It is an arithmetic number, because the mean of its divisors is an integer number (732691405600).

Almost surely, 2^{10022122100011} is an apocalyptic number.

10022122100011 is a deficient number, since it is larger than the sum of its proper divisors (1700940389589).

10022122100011 is an equidigital number, since it uses as much as digits as its factorization.

10022122100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8068138.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10022122100011 its reverse (11000122122001), we get a palindrome (21022244222012).

The spelling of 10022122100011 in words is "ten trillion, twenty-two billion, one hundred twenty-two million, one hundred thousand, eleven".