10002201213101 has 2 divisors, whose sum is σ = 10002201213102. Its totient is φ = 10002201213100.

The previous prime is 10002201213089. The next prime is 10002201213197. The reversal of 10002201213101 is 10131210220001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9113461360201 + 888739852900 = 3018851^2 + 942730^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002201213101 - 2²² = 10002197018797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002201213001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001100606550 + 5001100606551.

It is an arithmetic number, because the mean of its divisors is an integer number (5001100606551).

Almost surely, 2^{10002201213101} is an apocalyptic number.

It is an amenable number.

10002201213101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002201213101 is an equidigital number, since it uses as much as digits as its factorization.

10002201213101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10002201213101 its reverse (10131210220001), we get a palindrome (20133411433102).

The spelling of 10002201213101 in words is "ten trillion, two billion, two hundred one million, two hundred thirteen thousand, one hundred one".