10202122110181 has 2 divisors, whose sum is σ = 10202122110182. Its totient is φ = 10202122110180.

The previous prime is 10202122110157. The next prime is 10202122110209. The reversal of 10202122110181 is 18101122120201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6292145812225 + 3909976297956 = 2508415^2 + 1977366^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202122110181 - 2¹³ = 10202122101989 is a prime.

It is a super-2 number, since 2×10202122110181² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10202122116181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101061055090 + 5101061055091.

It is an arithmetic number, because the mean of its divisors is an integer number (5101061055091).

Almost surely, 2^{10202122110181} is an apocalyptic number.

It is an amenable number.

10202122110181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202122110181 is an equidigital number, since it uses as much as digits as its factorization.

10202122110181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 22.

Adding to 10202122110181 its reverse (18101122120201), we get a palindrome (28303244230382).

The spelling of 10202122110181 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, one hundred ten thousand, one hundred eighty-one".