102202120093 has 2 divisors, whose sum is σ = 102202120094. Its totient is φ = 102202120092.

The previous prime is 102202120087. The next prime is 102202120109. The reversal of 102202120093 is 390021202201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75868295364 + 26333824729 = 275442^2 + 162277^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102202120093 is a prime.

It is a super-3 number, since 3×102202120093³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102202120043) 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 as a sum of consecutive naturals, namely, 51101060046 + 51101060047.

It is an arithmetic number, because the mean of its divisors is an integer number (51101060047).

Almost surely, 2^102202120093 is an apocalyptic number.

It is an amenable number.

102202120093 is a deficient number, since it is larger than the sum of its proper divisors (1).

102202120093 is an equidigital number, since it uses as much as digits as its factorization.

102202120093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 102202120093 its reverse (390021202201), we get a palindrome (492223322294).

The spelling of 102202120093 in words is "one hundred two billion, two hundred two million, one hundred twenty thousand, ninety-three".