102201200001997 has 2 divisors, whose sum is σ = 102201200001998. Its totient is φ = 102201200001996.

The previous prime is 102201200001949. The next prime is 102201200002007. The reversal of 102201200001997 is 799100002102201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52468958654116 + 49732241347881 = 7243546^2 + 7052109^2 .

It is a cyclic number.

It is not a de Polignac number, because 102201200001997 - 2¹¹ = 102201199999949 is a prime.

It is a super-3 number, since 3×102201200001997³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102201200001917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100600000998 + 51100600000999.

It is an arithmetic number, because the mean of its divisors is an integer number (51100600000999).

Almost surely, 2^{102201200001997} is an apocalyptic number.

It is an amenable number.

102201200001997 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201200001997 is an equidigital number, since it uses as much as digits as its factorization.

102201200001997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 34.

The spelling of 102201200001997 in words is "one hundred two trillion, two hundred one billion, two hundred million, one thousand, nine hundred ninety-seven".