102001222202013 has 40 divisors (see below), whose sum is σ = 152788051536120. Its totient is φ = 67815478886400.

The previous prime is 102001222201897. The next prime is 102001222202023. The reversal of 102001222202013 is 310202222100201.

It can be written as a sum of positive squares in 4 ways, for example, as 36569268846009 + 65431953356004 = 6047253^2 + 8089002^2 .

It is not a de Polignac number, because 102001222202013 - 2²⁸ = 102000953766557 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001222202023) 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 39 ways as a sum of consecutive naturals, for example, 42496581 + ... + 44832597.

It is an arithmetic number, because the mean of its divisors is an integer number (3819701288403).

Almost surely, 2^{102001222202013} is an apocalyptic number.

It is an amenable number.

102001222202013 is a deficient number, since it is larger than the sum of its proper divisors (50786829334107).

102001222202013 is an equidigital number, since it uses as much as digits as its factorization.

102001222202013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337499 (or 2337490 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102001222202013 its reverse (310202222100201), we get a palindrome (412203444302214).

The spelling of 102001222202013 in words is "one hundred two trillion, one billion, two hundred twenty-two million, two hundred two thousand, thirteen".