102220201120013 has 2 divisors, whose sum is σ = 102220201120014. Its totient is φ = 102220201120012.

The previous prime is 102220201120007. The next prime is 102220201120033. The reversal of 102220201120013 is 310021102022201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101828321364004 + 391879756009 = 10091002^2 + 626003^2 .

It is a cyclic number.

It is not a de Polignac number, because 102220201120013 - 2³⁰ = 102219127378189 is a prime.

It is a super-3 number, since 3×102220201120013³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102220201119973 and 102220201120000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102220201120033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110100560006 + 51110100560007.

It is an arithmetic number, because the mean of its divisors is an integer number (51110100560007).

Almost surely, 2^{102220201120013} is an apocalyptic number.

It is an amenable number.

102220201120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102220201120013 is an equidigital number, since it uses as much as digits as its factorization.

102220201120013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 102220201120013 its reverse (310021102022201), we get a palindrome (412241303142214).

The spelling of 102220201120013 in words is "one hundred two trillion, two hundred twenty billion, two hundred one million, one hundred twenty thousand, thirteen".