102100201361 has 2 divisors, whose sum is σ = 102100201362. Its totient is φ = 102100201360.

The previous prime is 102100201327. The next prime is 102100201369. The reversal of 102100201361 is 163102001201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88591950736 + 13508250625 = 297644^2 + 116225^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100201361 - 2¹⁸ = 102099939217 is a prime.

It is a super-2 number, since 2×102100201361² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102100201369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050100680 + 51050100681.

It is an arithmetic number, because the mean of its divisors is an integer number (51050100681).

Almost surely, 2^102100201361 is an apocalyptic number.

It is an amenable number.

102100201361 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100201361 is an equidigital number, since it uses as much as digits as its factorization.

102100201361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 102100201361 its reverse (163102001201), we get a palindrome (265202202562).

The spelling of 102100201361 in words is "one hundred two billion, one hundred million, two hundred one thousand, three hundred sixty-one".