10222435426601 has 16 divisors (see below), whose sum is σ = 10367156595600. Its totient is φ = 10078531522560.

The previous prime is 10222435426597. The next prime is 10222435426631. The reversal of 10222435426601 is 10662453422201.

It can be written as a sum of positive squares in 8 ways, for example, as 3916535992576 + 6305899434025 = 1979024^2 + 2511155^2 .

It is a cyclic number.

It is not a de Polignac number, because 10222435426601 - 2² = 10222435426597 is a prime.

It is a super-3 number, since 3×10222435426601³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10222435426631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146374271 + ... + 146444091.

It is an arithmetic number, because the mean of its divisors is an integer number (647947287225).

Almost surely, 2^{10222435426601} is an apocalyptic number.

It is an amenable number.

10222435426601 is a deficient number, since it is larger than the sum of its proper divisors (144721168999).

10222435426601 is an equidigital number, since it uses as much as digits as its factorization.

10222435426601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75644.

The product of its (nonzero) digits is 138240, while the sum is 38.

Adding to 10222435426601 its reverse (10662453422201), we get a palindrome (20884888848802).

The spelling of 10222435426601 in words is "ten trillion, two hundred twenty-two billion, four hundred thirty-five million, four hundred twenty-six thousand, six hundred one".