10022022200101 has 16 divisors (see below), whose sum is σ = 10649283580800. Its totient is φ = 9431594606784.

The previous prime is 10022022200077. The next prime is 10022022200107. The reversal of 10022022200101 is 10100222022001.

It is a happy number.

It is not a de Polignac number, because 10022022200101 - 2⁹ = 10022022199589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022022200107) 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, 54732766 + ... + 54915568.

It is an arithmetic number, because the mean of its divisors is an integer number (665580223800).

Almost surely, 2^{10022022200101} is an apocalyptic number.

It is an amenable number.

10022022200101 is a deficient number, since it is larger than the sum of its proper divisors (627261380699).

10022022200101 is an equidigital number, since it uses as much as digits as its factorization.

10022022200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194013 (or 193979 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10022022200101 its reverse (10100222022001), we get a palindrome (20122244222102).

The spelling of 10022022200101 in words is "ten trillion, twenty-two billion, twenty-two million, two hundred thousand, one hundred one".