10002222011101 has 16 divisors (see below), whose sum is σ = 10862958498480. Its totient is φ = 9174580577280.

The previous prime is 10002222011099. The next prime is 10002222011143. The reversal of 10002222011101 is 10111022220001.

It can be written as a sum of positive squares in 8 ways, for example, as 60491402500 + 9941730608601 = 245950^2 + 3153051^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002222011101 - 2¹ = 10002222011099 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 (10002282011101) 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, 44131666 + ... + 44357731.

It is an arithmetic number, because the mean of its divisors is an integer number (678934906155).

Almost surely, 2^{10002222011101} is an apocalyptic number.

It is an amenable number.

10002222011101 is a deficient number, since it is larger than the sum of its proper divisors (860736487379).

10002222011101 is a wasteful number, since it uses less digits than its factorization.

10002222011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88489584.

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

Adding to 10002222011101 its reverse (10111022220001), we get a palindrome (20113244231102).

The spelling of 10002222011101 in words is "ten trillion, two billion, two hundred twenty-two million, eleven thousand, one hundred one".