10222100000001 has 48 divisors (see below), whose sum is σ = 15257598806736. Its totient is φ = 6589792309248.

The previous prime is 10222099999963. The next prime is 10222100000003. The reversal of 10222100000001 is 10000000122201.

It can be written as a sum of positive squares in 8 ways, for example, as 605557886976 + 9616542113025 = 778176^2 + 3101055^2 .

It is not a de Polignac number, because 10222100000001 - 2²⁶ = 10222032891137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10222100000003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163174981 + ... + 163237613.

It is an arithmetic number, because the mean of its divisors is an integer number (317866641807).

Almost surely, 2^{10222100000001} is an apocalyptic number.

It is an amenable number.

10222100000001 is a deficient number, since it is larger than the sum of its proper divisors (5035498806735).

10222100000001 is a wasteful number, since it uses less digits than its factorization.

10222100000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65682 (or 65679 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10222100000001 its reverse (10000000122201), we get a palindrome (20222100122202).

The spelling of 10222100000001 in words is "ten trillion, two hundred twenty-two billion, one hundred million, one", and thus it is an aban number.