102200210122181 has 2 divisors, whose sum is σ = 102200210122182. Its totient is φ = 102200210122180.

The previous prime is 102200210122147. The next prime is 102200210122223. The reversal of 102200210122181 is 181221012002201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86180884289956 + 16019325832225 = 9283366^2 + 4002415^2 .

It is a cyclic number.

It is not a de Polignac number, because 102200210122181 - 2⁶ = 102200210122117 is a prime.

It is a super-2 number, since 2×102200210122181² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102200210122141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100105061090 + 51100105061091.

It is an arithmetic number, because the mean of its divisors is an integer number (51100105061091).

Almost surely, 2^{102200210122181} is an apocalyptic number.

It is an amenable number.

102200210122181 is a deficient number, since it is larger than the sum of its proper divisors (1).

102200210122181 is an equidigital number, since it uses as much as digits as its factorization.

102200210122181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 23.

Adding to 102200210122181 its reverse (181221012002201), we get a palindrome (283421222124382).

The spelling of 102200210122181 in words is "one hundred two trillion, two hundred billion, two hundred ten million, one hundred twenty-two thousand, one hundred eighty-one".