102022200020213 has 6 divisors (see below), whose sum is σ = 112140104154582. Its totient is φ = 92747454563720.

The previous prime is 102022200020203. The next prime is 102022200020243. The reversal of 102022200020213 is 312020002220201.

It can be written as a sum of positive squares in only one way, i.e., 92098704595249 + 9923495424964 = 9596807^2 + 3150158^2 .

It is not a de Polignac number, because 102022200020213 - 2¹⁰ = 102022200019189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102022200020191 and 102022200020200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022200020203) 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 in 5 ways as a sum of consecutive naturals, for example, 421579338806 + ... + 421579339047.

It is an arithmetic number, because the mean of its divisors is an integer number (18690017359097).

Almost surely, 2^{102022200020213} is an apocalyptic number.

It is an amenable number.

102022200020213 is a deficient number, since it is larger than the sum of its proper divisors (10117904134369).

102022200020213 is an equidigital number, since it uses as much as digits as its factorization.

102022200020213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843158677875 (or 843158677864 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 102022200020213 its reverse (312020002220201), we get a palindrome (414042202240414).

The spelling of 102022200020213 in words is "one hundred two trillion, twenty-two billion, two hundred million, twenty thousand, two hundred thirteen".